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Simplifying 2(6m + 3) = 18 + -3(16 + -3m) Reorder the terms: 2(3 + 6m) = 18 + -3(16 + -3m) (3 * 2 + 6m * 2) = 18 + -3(16 + -3m) (6 + 12m) = 18 + -3(16 + -3m) 6 + 12m = 18 + (16 * -3 + -3m * -3) 6 + 12m = 18 + (-48 + 9m) Combine like terms: 18 + -48 = -30 6 + 12m = -30 + 9m Solving 6 + 12m = -30 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 6 + 12m + -9m = -30 + 9m + -9m Combine like terms: 12m + -9m = 3m 6 + 3m = -30 + 9m + -9m Combine like terms: 9m + -9m = 0 6 + 3m = -30 + 0 6 + 3m = -30 Add '-6' to each side of the equation. 6 + -6 + 3m = -30 + -6 Combine like terms: 6 + -6 = 0 0 + 3m = -30 + -6 3m = -30 + -6 Combine like terms: -30 + -6 = -36 3m = -36 Divide each side by '3'. m = -12 Simplifying m = -12
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