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Simplifying 12 + -1(3m + 6) = 5 + 3m + -11 Reorder the terms: 12 + -1(6 + 3m) = 5 + 3m + -11 12 + (6 * -1 + 3m * -1) = 5 + 3m + -11 12 + (-6 + -3m) = 5 + 3m + -11 Combine like terms: 12 + -6 = 6 6 + -3m = 5 + 3m + -11 Reorder the terms: 6 + -3m = 5 + -11 + 3m Combine like terms: 5 + -11 = -6 6 + -3m = -6 + 3m Solving 6 + -3m = -6 + 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 + -3m + -3m = -6 + 3m + -3m Combine like terms: -3m + -3m = -6m 6 + -6m = -6 + 3m + -3m Combine like terms: 3m + -3m = 0 6 + -6m = -6 + 0 6 + -6m = -6 Add '-6' to each side of the equation. 6 + -6 + -6m = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -6m = -6 + -6 -6m = -6 + -6 Combine like terms: -6 + -6 = -12 -6m = -12 Divide each side by '-6'. m = 2 Simplifying m = 2
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