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