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Simplifying 4(m + -5) = 5(m + 3) Reorder the terms: 4(-5 + m) = 5(m + 3) (-5 * 4 + m * 4) = 5(m + 3) (-20 + 4m) = 5(m + 3) Reorder the terms: -20 + 4m = 5(3 + m) -20 + 4m = (3 * 5 + m * 5) -20 + 4m = (15 + 5m) Solving -20 + 4m = 15 + 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. -20 + 4m + -5m = 15 + 5m + -5m Combine like terms: 4m + -5m = -1m -20 + -1m = 15 + 5m + -5m Combine like terms: 5m + -5m = 0 -20 + -1m = 15 + 0 -20 + -1m = 15 Add '20' to each side of the equation. -20 + 20 + -1m = 15 + 20 Combine like terms: -20 + 20 = 0 0 + -1m = 15 + 20 -1m = 15 + 20 Combine like terms: 15 + 20 = 35 -1m = 35 Divide each side by '-1'. m = -35 Simplifying m = -35
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