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Simplifying 12 + -1(2m + 6) = 2 + 3m + -16 Reorder the terms: 12 + -1(6 + 2m) = 2 + 3m + -16 12 + (6 * -1 + 2m * -1) = 2 + 3m + -16 12 + (-6 + -2m) = 2 + 3m + -16 Combine like terms: 12 + -6 = 6 6 + -2m = 2 + 3m + -16 Reorder the terms: 6 + -2m = 2 + -16 + 3m Combine like terms: 2 + -16 = -14 6 + -2m = -14 + 3m Solving 6 + -2m = -14 + 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. 6 + -2m + -3m = -14 + 3m + -3m Combine like terms: -2m + -3m = -5m 6 + -5m = -14 + 3m + -3m Combine like terms: 3m + -3m = 0 6 + -5m = -14 + 0 6 + -5m = -14 Add '-6' to each side of the equation. 6 + -6 + -5m = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -5m = -14 + -6 -5m = -14 + -6 Combine like terms: -14 + -6 = -20 -5m = -20 Divide each side by '-5'. m = 4 Simplifying m = 4
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