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Simplifying -7m + 36 + -5(m + -2) = 8m + -1(4m + -7) + -6m + 9 Reorder the terms: -7m + 36 + -5(-2 + m) = 8m + -1(4m + -7) + -6m + 9 -7m + 36 + (-2 * -5 + m * -5) = 8m + -1(4m + -7) + -6m + 9 -7m + 36 + (10 + -5m) = 8m + -1(4m + -7) + -6m + 9 Reorder the terms: 36 + 10 + -7m + -5m = 8m + -1(4m + -7) + -6m + 9 Combine like terms: 36 + 10 = 46 46 + -7m + -5m = 8m + -1(4m + -7) + -6m + 9 Combine like terms: -7m + -5m = -12m 46 + -12m = 8m + -1(4m + -7) + -6m + 9 Reorder the terms: 46 + -12m = 8m + -1(-7 + 4m) + -6m + 9 46 + -12m = 8m + (-7 * -1 + 4m * -1) + -6m + 9 46 + -12m = 8m + (7 + -4m) + -6m + 9 Reorder the terms: 46 + -12m = 7 + 9 + 8m + -4m + -6m Combine like terms: 7 + 9 = 16 46 + -12m = 16 + 8m + -4m + -6m Combine like terms: 8m + -4m = 4m 46 + -12m = 16 + 4m + -6m Combine like terms: 4m + -6m = -2m 46 + -12m = 16 + -2m Solving 46 + -12m = 16 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 46 + -12m + 2m = 16 + -2m + 2m Combine like terms: -12m + 2m = -10m 46 + -10m = 16 + -2m + 2m Combine like terms: -2m + 2m = 0 46 + -10m = 16 + 0 46 + -10m = 16 Add '-46' to each side of the equation. 46 + -46 + -10m = 16 + -46 Combine like terms: 46 + -46 = 0 0 + -10m = 16 + -46 -10m = 16 + -46 Combine like terms: 16 + -46 = -30 -10m = -30 Divide each side by '-10'. m = 3 Simplifying m = 3
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