What is the difference of -3 multiplied by a number and the product of two and another number

It's -7/9

Step-by-step explanation:the product of twice a number and two is the same as the difference of three times the number and 7 over 9. find the numberProduct means multiplication, so you need a multiplication sign *. Now find what you're multiplying. There are two things being multiplied together:the product of twice a number and two is the same as the difference of three times the number and 7 over 9. find the numberWhenever you see "a number", make up a variable. Let's use x. When you see "twice" that means 2 *. so now we have 2 * x.The other number being multiplied is 2.Let's put all that together.the product of twice a number and two is the same as the difference of three times the number and 7 over 9. find the numberWe can rewrite all of those words as ( 2 * x ) * 2.Now let's look at the next chunks.( 2 * x ) * 2 is the same as the difference of three times the number and 7 over 9. find the numberWhen you see "is the same as", that usually means an equals sign =. Now we look at what comes after the equals sign.( 2 * x ) * 2 = the difference of three times the number and 7 over 9. find the number"The difference" means a minus sign -. We need two things for subtraction:( 2 * x ) * 2 = the difference of three times the number and 7 over 9. find the number"Three times" is 3 *, and "the number" is the same variable x that we picked before. So "three times the number" is the same as 3 * x."7 over 9" is a fraction, 7/9.Let's put that part together.( 2 * x ) * 2 = the difference of three times the number and 7 over 9. find the numberWe can rewrite those words as ( 3 * x ) - ( 7/9 ).Now our problem looks like this:( 2 * x ) * 2 = ( 3 * x) - ( 7/9 ). find the numberAnd that's algebra.( 2 * x ) * 2 = ( 3 * x ) - ( 7/9 )Since the left hand side is all multiplication, you can move around the factors and parentheses, which is good, since you know what ( 2 * 2 ) is and can simplify that part of the equation.( 2 * 2 ) * x = ( 3 * x ) - ( 7/9 )4 * x = (3 * x) - ( 7/9 )When we're doing algebra with variables like x, we can just decide not to write the multiplication signs. Then our equation would look like:4x = 3x - 7/9Put the mulitples of x on one side of the equation. One way to do that would be:4x - 3x = - 7/9Then combine like terms:x = - 7/9