What is the answer to - 4(p + 2) + 8 = 2(p - 1) - 7p + 15

0.333333333333

Step-by-step explanation:

We simplify the equation to the form, which is simple to understand

4(p+2)+8=2(p-1)-7p+15

Reorder the terms in parentheses

+(+4p+8)+8=2*(p-1)-7p+15

Remove unnecessary parentheses

+4p+8+8=+2+*(+p-1+)-7p+15

Reorder the terms in parentheses

+4p+8+8=+(+2p-2)-7p+15

Remove unnecessary parentheses

+4p+8+8=+2p-2-7p+15

We move all terms containing p to the left and all other terms to the right.

+4p-2p+7p=-2+15-8-8

We simplify left and right side of the equation.

+9p=-3

We divide both sides of the equation by 9 to get p.

p=-0.333333333333

The answer is p=13

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−4(p+2)+8=2(p−1)−7p+15

(−4)(p)+(−4)(2)+8=(2)(p)+(2)(−1)+−7p+15(Distribute)

−4p+−8+8=2p+−2+−7p+15

(−4p)+(−8+8)=(2p+−7p)+(−2+15)(Combine Like Terms)

−4p=−5p+13

−4p=−5p+13

Step 2: Add 5p to both sides.

−4p+5p=−5p+13+5p

p=13

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