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Simplifying 4(m + -4) = 5(m + -5) Reorder the terms: 4(-4 + m) = 5(m + -5) (-4 * 4 + m * 4) = 5(m + -5) (-16 + 4m) = 5(m + -5) Reorder the terms: -16 + 4m = 5(-5 + m) -16 + 4m = (-5 * 5 + m * 5) -16 + 4m = (-25 + 5m) Solving -16 + 4m = -25 + 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. -16 + 4m + -5m = -25 + 5m + -5m Combine like terms: 4m + -5m = -1m -16 + -1m = -25 + 5m + -5m Combine like terms: 5m + -5m = 0 -16 + -1m = -25 + 0 -16 + -1m = -25 Add '16' to each side of the equation. -16 + 16 + -1m = -25 + 16 Combine like terms: -16 + 16 = 0 0 + -1m = -25 + 16 -1m = -25 + 16 Combine like terms: -25 + 16 = -9 -1m = -9 Divide each side by '-1'. m = 9 Simplifying m = 9
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