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Simplifying 2(m + 4) + 3(m + -5) = 8 Reorder the terms: 2(4 + m) + 3(m + -5) = 8 (4 * 2 + m * 2) + 3(m + -5) = 8 (8 + 2m) + 3(m + -5) = 8 Reorder the terms: 8 + 2m + 3(-5 + m) = 8 8 + 2m + (-5 * 3 + m * 3) = 8 8 + 2m + (-15 + 3m) = 8 Reorder the terms: 8 + -15 + 2m + 3m = 8 Combine like terms: 8 + -15 = -7 -7 + 2m + 3m = 8 Combine like terms: 2m + 3m = 5m -7 + 5m = 8 Solving -7 + 5m = 8 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 5m = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 5m = 8 + 7 5m = 8 + 7 Combine like terms: 8 + 7 = 15 5m = 15 Divide each side by '5'. m = 3 Simplifying m = 3
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