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Simplifying 4(m + -7) = 5(m + 8) Reorder the terms: 4(-7 + m) = 5(m + 8) (-7 * 4 + m * 4) = 5(m + 8) (-28 + 4m) = 5(m + 8) Reorder the terms: -28 + 4m = 5(8 + m) -28 + 4m = (8 * 5 + m * 5) -28 + 4m = (40 + 5m) Solving -28 + 4m = 40 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -28 + 4m + -5m = 40 + 5m + -5m Combine like terms: 4m + -5m = -1m -28 + -1m = 40 + 5m + -5m Combine like terms: 5m + -5m = 0 -28 + -1m = 40 + 0 -28 + -1m = 40 Add '28' to each side of the equation. -28 + 28 + -1m = 40 + 28 Combine like terms: -28 + 28 = 0 0 + -1m = 40 + 28 -1m = 40 + 28 Combine like terms: 40 + 28 = 68 -1m = 68 Divide each side by '-1'. m = -68 Simplifying m = -68
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