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Simplifying 4(m + -7) = 9(m + 8) Reorder the terms: 4(-7 + m) = 9(m + 8) (-7 * 4 + m * 4) = 9(m + 8) (-28 + 4m) = 9(m + 8) Reorder the terms: -28 + 4m = 9(8 + m) -28 + 4m = (8 * 9 + m * 9) -28 + 4m = (72 + 9m) Solving -28 + 4m = 72 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -28 + 4m + -9m = 72 + 9m + -9m Combine like terms: 4m + -9m = -5m -28 + -5m = 72 + 9m + -9m Combine like terms: 9m + -9m = 0 -28 + -5m = 72 + 0 -28 + -5m = 72 Add '28' to each side of the equation. -28 + 28 + -5m = 72 + 28 Combine like terms: -28 + 28 = 0 0 + -5m = 72 + 28 -5m = 72 + 28 Combine like terms: 72 + 28 = 100 -5m = 100 Divide each side by '-5'. m = -20 Simplifying m = -20
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