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Simplifying -2m + 9 + -8(m + -1) = 8m + -1(4m + -4) + -9m + 3 Reorder the terms: -2m + 9 + -8(-1 + m) = 8m + -1(4m + -4) + -9m + 3 -2m + 9 + (-1 * -8 + m * -8) = 8m + -1(4m + -4) + -9m + 3 -2m + 9 + (8 + -8m) = 8m + -1(4m + -4) + -9m + 3 Reorder the terms: 9 + 8 + -2m + -8m = 8m + -1(4m + -4) + -9m + 3 Combine like terms: 9 + 8 = 17 17 + -2m + -8m = 8m + -1(4m + -4) + -9m + 3 Combine like terms: -2m + -8m = -10m 17 + -10m = 8m + -1(4m + -4) + -9m + 3 Reorder the terms: 17 + -10m = 8m + -1(-4 + 4m) + -9m + 3 17 + -10m = 8m + (-4 * -1 + 4m * -1) + -9m + 3 17 + -10m = 8m + (4 + -4m) + -9m + 3 Reorder the terms: 17 + -10m = 4 + 3 + 8m + -4m + -9m Combine like terms: 4 + 3 = 7 17 + -10m = 7 + 8m + -4m + -9m Combine like terms: 8m + -4m = 4m 17 + -10m = 7 + 4m + -9m Combine like terms: 4m + -9m = -5m 17 + -10m = 7 + -5m Solving 17 + -10m = 7 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 17 + -10m + 5m = 7 + -5m + 5m Combine like terms: -10m + 5m = -5m 17 + -5m = 7 + -5m + 5m Combine like terms: -5m + 5m = 0 17 + -5m = 7 + 0 17 + -5m = 7 Add '-17' to each side of the equation. 17 + -17 + -5m = 7 + -17 Combine like terms: 17 + -17 = 0 0 + -5m = 7 + -17 -5m = 7 + -17 Combine like terms: 7 + -17 = -10 -5m = -10 Divide each side by '-5'. m = 2 Simplifying m = 2
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