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Simplifying 4m + 17 = 5m + 10 Reorder the terms: 17 + 4m = 5m + 10 Reorder the terms: 17 + 4m = 10 + 5m Solving 17 + 4m = 10 + 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. 17 + 4m + -5m = 10 + 5m + -5m Combine like terms: 4m + -5m = -1m 17 + -1m = 10 + 5m + -5m Combine like terms: 5m + -5m = 0 17 + -1m = 10 + 0 17 + -1m = 10 Add '-17' to each side of the equation. 17 + -17 + -1m = 10 + -17 Combine like terms: 17 + -17 = 0 0 + -1m = 10 + -17 -1m = 10 + -17 Combine like terms: 10 + -17 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7
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