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Simplifying -3m + 13 + -9(m + -3) = 6m + -1(5m + -4) + -8m + 6 Reorder the terms: -3m + 13 + -9(-3 + m) = 6m + -1(5m + -4) + -8m + 6 -3m + 13 + (-3 * -9 + m * -9) = 6m + -1(5m + -4) + -8m + 6 -3m + 13 + (27 + -9m) = 6m + -1(5m + -4) + -8m + 6 Reorder the terms: 13 + 27 + -3m + -9m = 6m + -1(5m + -4) + -8m + 6 Combine like terms: 13 + 27 = 40 40 + -3m + -9m = 6m + -1(5m + -4) + -8m + 6 Combine like terms: -3m + -9m = -12m 40 + -12m = 6m + -1(5m + -4) + -8m + 6 Reorder the terms: 40 + -12m = 6m + -1(-4 + 5m) + -8m + 6 40 + -12m = 6m + (-4 * -1 + 5m * -1) + -8m + 6 40 + -12m = 6m + (4 + -5m) + -8m + 6 Reorder the terms: 40 + -12m = 4 + 6 + 6m + -5m + -8m Combine like terms: 4 + 6 = 10 40 + -12m = 10 + 6m + -5m + -8m Combine like terms: 6m + -5m = 1m 40 + -12m = 10 + 1m + -8m Combine like terms: 1m + -8m = -7m 40 + -12m = 10 + -7m Solving 40 + -12m = 10 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 40 + -12m + 7m = 10 + -7m + 7m Combine like terms: -12m + 7m = -5m 40 + -5m = 10 + -7m + 7m Combine like terms: -7m + 7m = 0 40 + -5m = 10 + 0 40 + -5m = 10 Add '-40' to each side of the equation. 40 + -40 + -5m = 10 + -40 Combine like terms: 40 + -40 = 0 0 + -5m = 10 + -40 -5m = 10 + -40 Combine like terms: 10 + -40 = -30 -5m = -30 Divide each side by '-5'. m = 6 Simplifying m = 6
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