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Simplifying 12 + -1(3m + 8) = 3 + 3m + -11 Reorder the terms: 12 + -1(8 + 3m) = 3 + 3m + -11 12 + (8 * -1 + 3m * -1) = 3 + 3m + -11 12 + (-8 + -3m) = 3 + 3m + -11 Combine like terms: 12 + -8 = 4 4 + -3m = 3 + 3m + -11 Reorder the terms: 4 + -3m = 3 + -11 + 3m Combine like terms: 3 + -11 = -8 4 + -3m = -8 + 3m Solving 4 + -3m = -8 + 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. 4 + -3m + -3m = -8 + 3m + -3m Combine like terms: -3m + -3m = -6m 4 + -6m = -8 + 3m + -3m Combine like terms: 3m + -3m = 0 4 + -6m = -8 + 0 4 + -6m = -8 Add '-4' to each side of the equation. 4 + -4 + -6m = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -6m = -8 + -4 -6m = -8 + -4 Combine like terms: -8 + -4 = -12 -6m = -12 Divide each side by '-6'. m = 2 Simplifying m = 2
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