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Simplifying 17 + -5m = 7 + 3(8 + -4m) 17 + -5m = 7 + (8 * 3 + -4m * 3) 17 + -5m = 7 + (24 + -12m) Combine like terms: 7 + 24 = 31 17 + -5m = 31 + -12m Solving 17 + -5m = 31 + -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. 17 + -5m + 12m = 31 + -12m + 12m Combine like terms: -5m + 12m = 7m 17 + 7m = 31 + -12m + 12m Combine like terms: -12m + 12m = 0 17 + 7m = 31 + 0 17 + 7m = 31 Add '-17' to each side of the equation. 17 + -17 + 7m = 31 + -17 Combine like terms: 17 + -17 = 0 0 + 7m = 31 + -17 7m = 31 + -17 Combine like terms: 31 + -17 = 14 7m = 14 Divide each side by '7'. m = 2 Simplifying m = 2
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