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Simplifying 2(m + 6) = 5(m + -3) Reorder the terms: 2(6 + m) = 5(m + -3) (6 * 2 + m * 2) = 5(m + -3) (12 + 2m) = 5(m + -3) Reorder the terms: 12 + 2m = 5(-3 + m) 12 + 2m = (-3 * 5 + m * 5) 12 + 2m = (-15 + 5m) Solving 12 + 2m = -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. 12 + 2m + -5m = -15 + 5m + -5m Combine like terms: 2m + -5m = -3m 12 + -3m = -15 + 5m + -5m Combine like terms: 5m + -5m = 0 12 + -3m = -15 + 0 12 + -3m = -15 Add '-12' to each side of the equation. 12 + -12 + -3m = -15 + -12 Combine like terms: 12 + -12 = 0 0 + -3m = -15 + -12 -3m = -15 + -12 Combine like terms: -15 + -12 = -27 -3m = -27 Divide each side by '-3'. m = 9 Simplifying m = 9
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