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Simplifying -1(20 + -3m) = 8(m + 5) (20 * -1 + -3m * -1) = 8(m + 5) (-20 + 3m) = 8(m + 5) Reorder the terms: -20 + 3m = 8(5 + m) -20 + 3m = (5 * 8 + m * 8) -20 + 3m = (40 + 8m) Solving -20 + 3m = 40 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -20 + 3m + -8m = 40 + 8m + -8m Combine like terms: 3m + -8m = -5m -20 + -5m = 40 + 8m + -8m Combine like terms: 8m + -8m = 0 -20 + -5m = 40 + 0 -20 + -5m = 40 Add '20' to each side of the equation. -20 + 20 + -5m = 40 + 20 Combine like terms: -20 + 20 = 0 0 + -5m = 40 + 20 -5m = 40 + 20 Combine like terms: 40 + 20 = 60 -5m = 60 Divide each side by '-5'. m = -12 Simplifying m = -12
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