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Simplifying -3(2 + -6m) + 12 = 24 + -1(-12m) (2 * -3 + -6m * -3) + 12 = 24 + -1(-12m) (-6 + 18m) + 12 = 24 + -1(-12m) Reorder the terms: -6 + 12 + 18m = 24 + -1(-12m) Combine like terms: -6 + 12 = 6 6 + 18m = 24 + -1(-12m) Remove parenthesis around (-12m) 6 + 18m = 24 + -1 * -12m Multiply -1 * -12 6 + 18m = 24 + 12m Solving 6 + 18m = 24 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 6 + 18m + -12m = 24 + 12m + -12m Combine like terms: 18m + -12m = 6m 6 + 6m = 24 + 12m + -12m Combine like terms: 12m + -12m = 0 6 + 6m = 24 + 0 6 + 6m = 24 Add '-6' to each side of the equation. 6 + -6 + 6m = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 6m = 24 + -6 6m = 24 + -6 Combine like terms: 24 + -6 = 18 6m = 18 Divide each side by '6'. m = 3 Simplifying m = 3
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