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Simplifying 3(m + -8) + 6(m + -12) = 12 Reorder the terms: 3(-8 + m) + 6(m + -12) = 12 (-8 * 3 + m * 3) + 6(m + -12) = 12 (-24 + 3m) + 6(m + -12) = 12 Reorder the terms: -24 + 3m + 6(-12 + m) = 12 -24 + 3m + (-12 * 6 + m * 6) = 12 -24 + 3m + (-72 + 6m) = 12 Reorder the terms: -24 + -72 + 3m + 6m = 12 Combine like terms: -24 + -72 = -96 -96 + 3m + 6m = 12 Combine like terms: 3m + 6m = 9m -96 + 9m = 12 Solving -96 + 9m = 12 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '96' to each side of the equation. -96 + 96 + 9m = 12 + 96 Combine like terms: -96 + 96 = 0 0 + 9m = 12 + 96 9m = 12 + 96 Combine like terms: 12 + 96 = 108 9m = 108 Divide each side by '9'. m = 12 Simplifying m = 12
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