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Simplifying 12 = (4m + -8) + -1(6m + 6) Reorder the terms: 12 = (-8 + 4m) + -1(6m + 6) Remove parenthesis around (-8 + 4m) 12 = -8 + 4m + -1(6m + 6) Reorder the terms: 12 = -8 + 4m + -1(6 + 6m) 12 = -8 + 4m + (6 * -1 + 6m * -1) 12 = -8 + 4m + (-6 + -6m) Reorder the terms: 12 = -8 + -6 + 4m + -6m Combine like terms: -8 + -6 = -14 12 = -14 + 4m + -6m Combine like terms: 4m + -6m = -2m 12 = -14 + -2m Solving 12 = -14 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 12 + 2m = -14 + -2m + 2m Combine like terms: -2m + 2m = 0 12 + 2m = -14 + 0 12 + 2m = -14 Add '-12' to each side of the equation. 12 + -12 + 2m = -14 + -12 Combine like terms: 12 + -12 = 0 0 + 2m = -14 + -12 2m = -14 + -12 Combine like terms: -14 + -12 = -26 2m = -26 Divide each side by '2'. m = -13 Simplifying m = -13
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