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Simplifying 3m + 7 = 17 + -2m Reorder the terms: 7 + 3m = 17 + -2m Solving 7 + 3m = 17 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 7 + 3m + 2m = 17 + -2m + 2m Combine like terms: 3m + 2m = 5m 7 + 5m = 17 + -2m + 2m Combine like terms: -2m + 2m = 0 7 + 5m = 17 + 0 7 + 5m = 17 Add '-7' to each side of the equation. 7 + -7 + 5m = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 5m = 17 + -7 5m = 17 + -7 Combine like terms: 17 + -7 = 10 5m = 10 Divide each side by '5'. m = 2 Simplifying m = 2
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