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\begin{tabular}{|l|l|}\hline 4) Simplify: \( 7 a+6-3 a-2 \) & 5) Simplify: \( 4(2 x-8)+3 y \) \\ \hline\end{tabular} \( \begin{array}{l}\text { Adapted from Illustrative Math } \\ \text { 2024-25 Uncommon Schools, Inc. All rights reserved. }\end{array} \) "The only way to learn mathematics is to do mathen

Ask by Henry Gough. in the United States
Feb 21,2025

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Simplify the expressions: 1. \(7a + 6 - 3a - 2 = 4a + 4\) 2. \(4(2x - 8) + 3y = 8x - 32 + 3y\)

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Simplify the expression by following steps: - step0: Solution: \(7a+6-3a-2\) - step1: Subtract the terms: \(4a+4\) Calculate or simplify the expression \( 4(2 x - 8) + 3 y \). Simplify the expression by following steps: - step0: Solution: \(4\left(2x-8\right)+3y\) - step1: Expand the expression: \(8x-32+3y\) Let's simplify the given expressions step by step. ### 4) Simplify: \( 7a + 6 - 3a - 2 \) 1. **Combine like terms**: - Combine the terms with \(a\): \(7a - 3a = 4a\) - Combine the constant terms: \(6 - 2 = 4\) So, the simplified expression is: \[ 4a + 4 \] ### 5) Simplify: \( 4(2x - 8) + 3y \) 1. **Distribute the 4**: - \(4 \cdot 2x = 8x\) - \(4 \cdot (-8) = -32\) 2. **Combine the results**: - The expression becomes \(8x - 32 + 3y\) So, the simplified expression is: \[ 8x - 32 + 3y \] ### Final Results: - For \(7a + 6 - 3a - 2\), the simplified form is \(4a + 4\). - For \(4(2x - 8) + 3y\), the simplified form is \(8x - 32 + 3y\).

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To simplify \( 7a + 6 - 3a - 2 \), first combine like terms. You have \( 7a - 3a = 4a \) and \( 6 - 2 = 4 \). So, the simplified expression is \( 4a + 4 \)! For \( 4(2x - 8) + 3y \), start by distributing the 4: \( 8x - 32 + 3y \). There's no more like terms to combine, so the final simplified expression is \( 8x + 3y - 32 \). Happy simplifying!

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