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Simplifying 10m + 17 = 3m + 52 Reorder the terms: 17 + 10m = 3m + 52 Reorder the terms: 17 + 10m = 52 + 3m Solving 17 + 10m = 52 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 17 + 10m + -3m = 52 + 3m + -3m Combine like terms: 10m + -3m = 7m 17 + 7m = 52 + 3m + -3m Combine like terms: 3m + -3m = 0 17 + 7m = 52 + 0 17 + 7m = 52 Add '-17' to each side of the equation. 17 + -17 + 7m = 52 + -17 Combine like terms: 17 + -17 = 0 0 + 7m = 52 + -17 7m = 52 + -17 Combine like terms: 52 + -17 = 35 7m = 35 Divide each side by '7'. m = 5 Simplifying m = 5
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