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Simplifying -5m + -1 + -5(m + -1) = 3m + -1(7m + -9) + -8m + 3 Reorder the terms: -5m + -1 + -5(-1 + m) = 3m + -1(7m + -9) + -8m + 3 -5m + -1 + (-1 * -5 + m * -5) = 3m + -1(7m + -9) + -8m + 3 -5m + -1 + (5 + -5m) = 3m + -1(7m + -9) + -8m + 3 Reorder the terms: -1 + 5 + -5m + -5m = 3m + -1(7m + -9) + -8m + 3 Combine like terms: -1 + 5 = 4 4 + -5m + -5m = 3m + -1(7m + -9) + -8m + 3 Combine like terms: -5m + -5m = -10m 4 + -10m = 3m + -1(7m + -9) + -8m + 3 Reorder the terms: 4 + -10m = 3m + -1(-9 + 7m) + -8m + 3 4 + -10m = 3m + (-9 * -1 + 7m * -1) + -8m + 3 4 + -10m = 3m + (9 + -7m) + -8m + 3 Reorder the terms: 4 + -10m = 9 + 3 + 3m + -7m + -8m Combine like terms: 9 + 3 = 12 4 + -10m = 12 + 3m + -7m + -8m Combine like terms: 3m + -7m = -4m 4 + -10m = 12 + -4m + -8m Combine like terms: -4m + -8m = -12m 4 + -10m = 12 + -12m Solving 4 + -10m = 12 + -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. 4 + -10m + 12m = 12 + -12m + 12m Combine like terms: -10m + 12m = 2m 4 + 2m = 12 + -12m + 12m Combine like terms: -12m + 12m = 0 4 + 2m = 12 + 0 4 + 2m = 12 Add '-4' to each side of the equation. 4 + -4 + 2m = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 2m = 12 + -4 2m = 12 + -4 Combine like terms: 12 + -4 = 8 2m = 8 Divide each side by '2'. m = 4 Simplifying m = 4
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