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Simplifying 10m + 8 = 7m + 17 Reorder the terms: 8 + 10m = 7m + 17 Reorder the terms: 8 + 10m = 17 + 7m Solving 8 + 10m = 17 + 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. 8 + 10m + -7m = 17 + 7m + -7m Combine like terms: 10m + -7m = 3m 8 + 3m = 17 + 7m + -7m Combine like terms: 7m + -7m = 0 8 + 3m = 17 + 0 8 + 3m = 17 Add '-8' to each side of the equation. 8 + -8 + 3m = 17 + -8 Combine like terms: 8 + -8 = 0 0 + 3m = 17 + -8 3m = 17 + -8 Combine like terms: 17 + -8 = 9 3m = 9 Divide each side by '3'. m = 3 Simplifying m = 3
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