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Simplifying -2(m + 5) = 3(m + 5) Reorder the terms: -2(5 + m) = 3(m + 5) (5 * -2 + m * -2) = 3(m + 5) (-10 + -2m) = 3(m + 5) Reorder the terms: -10 + -2m = 3(5 + m) -10 + -2m = (5 * 3 + m * 3) -10 + -2m = (15 + 3m) Solving -10 + -2m = 15 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -10 + -2m + -3m = 15 + 3m + -3m Combine like terms: -2m + -3m = -5m -10 + -5m = 15 + 3m + -3m Combine like terms: 3m + -3m = 0 -10 + -5m = 15 + 0 -10 + -5m = 15 Add '10' to each side of the equation. -10 + 10 + -5m = 15 + 10 Combine like terms: -10 + 10 = 0 0 + -5m = 15 + 10 -5m = 15 + 10 Combine like terms: 15 + 10 = 25 -5m = 25 Divide each side by '-5'. m = -5 Simplifying m = -5
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