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Simplifying 5 + 7m + -2 = 8m + 17 + -3m Reorder the terms: 5 + -2 + 7m = 8m + 17 + -3m Combine like terms: 5 + -2 = 3 3 + 7m = 8m + 17 + -3m Reorder the terms: 3 + 7m = 17 + 8m + -3m Combine like terms: 8m + -3m = 5m 3 + 7m = 17 + 5m Solving 3 + 7m = 17 + 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. 3 + 7m + -5m = 17 + 5m + -5m Combine like terms: 7m + -5m = 2m 3 + 2m = 17 + 5m + -5m Combine like terms: 5m + -5m = 0 3 + 2m = 17 + 0 3 + 2m = 17 Add '-3' to each side of the equation. 3 + -3 + 2m = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 2m = 17 + -3 2m = 17 + -3 Combine like terms: 17 + -3 = 14 2m = 14 Divide each side by '2'. m = 7 Simplifying m = 7
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