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Simplifying -12 = 3(m + -2) + 6(-1 + 6m) Reorder the terms: -12 = 3(-2 + m) + 6(-1 + 6m) -12 = (-2 * 3 + m * 3) + 6(-1 + 6m) -12 = (-6 + 3m) + 6(-1 + 6m) -12 = -6 + 3m + (-1 * 6 + 6m * 6) -12 = -6 + 3m + (-6 + 36m) Reorder the terms: -12 = -6 + -6 + 3m + 36m Combine like terms: -6 + -6 = -12 -12 = -12 + 3m + 36m Combine like terms: 3m + 36m = 39m -12 = -12 + 39m Add '12' to each side of the equation. -12 + 12 = -12 + 12 + 39m Combine like terms: -12 + 12 = 0 0 = -12 + 12 + 39m Combine like terms: -12 + 12 = 0 0 = 0 + 39m 0 = 39m Solving 0 = 39m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-39m' to each side of the equation. 0 + -39m = 39m + -39m Remove the zero: -39m = 39m + -39m Combine like terms: 39m + -39m = 0 -39m = 0 Divide each side by '-39'. m = 0 Simplifying m = 0
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