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Simplifying -3m + 45 + -7(m + -1) = 8m + -1(5m + -9) + -6m + 8 Reorder the terms: -3m + 45 + -7(-1 + m) = 8m + -1(5m + -9) + -6m + 8 -3m + 45 + (-1 * -7 + m * -7) = 8m + -1(5m + -9) + -6m + 8 -3m + 45 + (7 + -7m) = 8m + -1(5m + -9) + -6m + 8 Reorder the terms: 45 + 7 + -3m + -7m = 8m + -1(5m + -9) + -6m + 8 Combine like terms: 45 + 7 = 52 52 + -3m + -7m = 8m + -1(5m + -9) + -6m + 8 Combine like terms: -3m + -7m = -10m 52 + -10m = 8m + -1(5m + -9) + -6m + 8 Reorder the terms: 52 + -10m = 8m + -1(-9 + 5m) + -6m + 8 52 + -10m = 8m + (-9 * -1 + 5m * -1) + -6m + 8 52 + -10m = 8m + (9 + -5m) + -6m + 8 Reorder the terms: 52 + -10m = 9 + 8 + 8m + -5m + -6m Combine like terms: 9 + 8 = 17 52 + -10m = 17 + 8m + -5m + -6m Combine like terms: 8m + -5m = 3m 52 + -10m = 17 + 3m + -6m Combine like terms: 3m + -6m = -3m 52 + -10m = 17 + -3m Solving 52 + -10m = 17 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 52 + -10m + 3m = 17 + -3m + 3m Combine like terms: -10m + 3m = -7m 52 + -7m = 17 + -3m + 3m Combine like terms: -3m + 3m = 0 52 + -7m = 17 + 0 52 + -7m = 17 Add '-52' to each side of the equation. 52 + -52 + -7m = 17 + -52 Combine like terms: 52 + -52 = 0 0 + -7m = 17 + -52 -7m = 17 + -52 Combine like terms: 17 + -52 = -35 -7m = -35 Divide each side by '-7'. m = 5 Simplifying m = 5
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