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Rewrite in simplest terms: \( -4 w-9(-4 w+9) \)

Ask by Davison Martinez. in the United States
Feb 22,2025

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The simplified expression is \( 32w - 81 \).

Solución

To simplify the expression -4w - 9(-4w + 9), follow these steps: 1. Distribute the -9 across (-4w + 9):   -4w - 9(-4w) - 9(9) = -4w + 36w - 81 2. Combine like terms:   -4w + 36w = 32w So, the simplified expression is 32w - 81.

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The Deep Dive

First, let's simplify the expression step by step. We start with: \[ -4w - 9(-4w + 9) \] Distributing the -9 gives us: \[ -4w + 36w - 81 \] Next, we combine the like terms: \[ (-4w + 36w) - 81 = 32w - 81 \] So, the simplified form is: \[ 32w - 81 \]

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