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Simplifying 2(m + 6) = 3(m + -3) Reorder the terms: 2(6 + m) = 3(m + -3) (6 * 2 + m * 2) = 3(m + -3) (12 + 2m) = 3(m + -3) Reorder the terms: 12 + 2m = 3(-3 + m) 12 + 2m = (-3 * 3 + m * 3) 12 + 2m = (-9 + 3m) Solving 12 + 2m = -9 + 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. 12 + 2m + -3m = -9 + 3m + -3m Combine like terms: 2m + -3m = -1m 12 + -1m = -9 + 3m + -3m Combine like terms: 3m + -3m = 0 12 + -1m = -9 + 0 12 + -1m = -9 Add '-12' to each side of the equation. 12 + -12 + -1m = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -1m = -9 + -12 -1m = -9 + -12 Combine like terms: -9 + -12 = -21 -1m = -21 Divide each side by '-1'. m = 21 Simplifying m = 21
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