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Simplifying 12(m + -1) = 5(m + 3) + -6 Reorder the terms: 12(-1 + m) = 5(m + 3) + -6 (-1 * 12 + m * 12) = 5(m + 3) + -6 (-12 + 12m) = 5(m + 3) + -6 Reorder the terms: -12 + 12m = 5(3 + m) + -6 -12 + 12m = (3 * 5 + m * 5) + -6 -12 + 12m = (15 + 5m) + -6 Reorder the terms: -12 + 12m = 15 + -6 + 5m Combine like terms: 15 + -6 = 9 -12 + 12m = 9 + 5m Solving -12 + 12m = 9 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -12 + 12m + -5m = 9 + 5m + -5m Combine like terms: 12m + -5m = 7m -12 + 7m = 9 + 5m + -5m Combine like terms: 5m + -5m = 0 -12 + 7m = 9 + 0 -12 + 7m = 9 Add '12' to each side of the equation. -12 + 12 + 7m = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 7m = 9 + 12 7m = 9 + 12 Combine like terms: 9 + 12 = 21 7m = 21 Divide each side by '7'. m = 3 Simplifying m = 3
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