Prove z + z + z + z = 4z. Replace each step with the correct equivalent expression based on the given property or operation. Drag the correct tiles to show the steps in order. z + z + z + z = Step 1 (Multiplicative Identity Property) = Step 2 (Distributive Property) = Step 3 (Addition) = Step 4 (Commutative Property of Multiplication) z • 4 1 + (z • z • z • z) 4z z • 0 + z • 0 + z • 0 + z • 0 z • 1 + z • 1 + z • 1 + z • 1 z • (1 + 1 + 1 + 1) ↓ ↓ ↓

Step 1:

Step 2:

Step 3:

Step 4:

Step-by-step explanation:

Given

Required

Match the steps with equivalent properties

Step 1: Multiplicative Identity Property

This states that:

So, the expression becomes:

Step 2: Distributive Property

This states that:

So, the expression becomes

Step 3: Addition

Here, we simply add the expressions in the bracket

Step 4: Commutative Property of Multiplication

This states that:

So, we have:

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step-by-step explanation:

-362

step-by-step explanation:

(12)(4)+2(12)-34(12)+2(12)-3

  \/         \/         \/         \/

  48 +   24 -   408 + 24 - 3

      \   /               \   /

          72     -     432 - 3 = -363