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Simplifying 3m + 17 = 4m + 7 Reorder the terms: 17 + 3m = 4m + 7 Reorder the terms: 17 + 3m = 7 + 4m Solving 17 + 3m = 7 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 17 + 3m + -4m = 7 + 4m + -4m Combine like terms: 3m + -4m = -1m 17 + -1m = 7 + 4m + -4m Combine like terms: 4m + -4m = 0 17 + -1m = 7 + 0 17 + -1m = 7 Add '-17' to each side of the equation. 17 + -17 + -1m = 7 + -17 Combine like terms: 17 + -17 = 0 0 + -1m = 7 + -17 -1m = 7 + -17 Combine like terms: 7 + -17 = -10 -1m = -10 Divide each side by '-1'. m = 10 Simplifying m = 10
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