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Simplifying -5m + 66 + -3(m + -4) = 8 + -1(4m + -8) + -3m + 7 Reorder the terms: -5m + 66 + -3(-4 + m) = 8 + -1(4m + -8) + -3m + 7 -5m + 66 + (-4 * -3 + m * -3) = 8 + -1(4m + -8) + -3m + 7 -5m + 66 + (12 + -3m) = 8 + -1(4m + -8) + -3m + 7 Reorder the terms: 66 + 12 + -5m + -3m = 8 + -1(4m + -8) + -3m + 7 Combine like terms: 66 + 12 = 78 78 + -5m + -3m = 8 + -1(4m + -8) + -3m + 7 Combine like terms: -5m + -3m = -8m 78 + -8m = 8 + -1(4m + -8) + -3m + 7 Reorder the terms: 78 + -8m = 8 + -1(-8 + 4m) + -3m + 7 78 + -8m = 8 + (-8 * -1 + 4m * -1) + -3m + 7 78 + -8m = 8 + (8 + -4m) + -3m + 7 Reorder the terms: 78 + -8m = 8 + 8 + 7 + -4m + -3m Combine like terms: 8 + 8 = 16 78 + -8m = 16 + 7 + -4m + -3m Combine like terms: 16 + 7 = 23 78 + -8m = 23 + -4m + -3m Combine like terms: -4m + -3m = -7m 78 + -8m = 23 + -7m Solving 78 + -8m = 23 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 78 + -8m + 7m = 23 + -7m + 7m Combine like terms: -8m + 7m = -1m 78 + -1m = 23 + -7m + 7m Combine like terms: -7m + 7m = 0 78 + -1m = 23 + 0 78 + -1m = 23 Add '-78' to each side of the equation. 78 + -78 + -1m = 23 + -78 Combine like terms: 78 + -78 = 0 0 + -1m = 23 + -78 -1m = 23 + -78 Combine like terms: 23 + -78 = -55 -1m = -55 Divide each side by '-1'. m = 55 Simplifying m = 55
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