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Simplifying -5m + 66 + -3(m + -4) = 8m + -1(4m + -8) + -3m + 7 Reorder the terms: -5m + 66 + -3(-4 + m) = 8m + -1(4m + -8) + -3m + 7 -5m + 66 + (-4 * -3 + m * -3) = 8m + -1(4m + -8) + -3m + 7 -5m + 66 + (12 + -3m) = 8m + -1(4m + -8) + -3m + 7 Reorder the terms: 66 + 12 + -5m + -3m = 8m + -1(4m + -8) + -3m + 7 Combine like terms: 66 + 12 = 78 78 + -5m + -3m = 8m + -1(4m + -8) + -3m + 7 Combine like terms: -5m + -3m = -8m 78 + -8m = 8m + -1(4m + -8) + -3m + 7 Reorder the terms: 78 + -8m = 8m + -1(-8 + 4m) + -3m + 7 78 + -8m = 8m + (-8 * -1 + 4m * -1) + -3m + 7 78 + -8m = 8m + (8 + -4m) + -3m + 7 Reorder the terms: 78 + -8m = 8 + 7 + 8m + -4m + -3m Combine like terms: 8 + 7 = 15 78 + -8m = 15 + 8m + -4m + -3m Combine like terms: 8m + -4m = 4m 78 + -8m = 15 + 4m + -3m Combine like terms: 4m + -3m = 1m 78 + -8m = 15 + 1m Solving 78 + -8m = 15 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 78 + -8m + -1m = 15 + 1m + -1m Combine like terms: -8m + -1m = -9m 78 + -9m = 15 + 1m + -1m Combine like terms: 1m + -1m = 0 78 + -9m = 15 + 0 78 + -9m = 15 Add '-78' to each side of the equation. 78 + -78 + -9m = 15 + -78 Combine like terms: 78 + -78 = 0 0 + -9m = 15 + -78 -9m = 15 + -78 Combine like terms: 15 + -78 = -63 -9m = -63 Divide each side by '-9'. m = 7 Simplifying m = 7
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