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Simplifying 3m + 10 = 17 + -4m Reorder the terms: 10 + 3m = 17 + -4m Solving 10 + 3m = 17 + -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. 10 + 3m + 4m = 17 + -4m + 4m Combine like terms: 3m + 4m = 7m 10 + 7m = 17 + -4m + 4m Combine like terms: -4m + 4m = 0 10 + 7m = 17 + 0 10 + 7m = 17 Add '-10' to each side of the equation. 10 + -10 + 7m = 17 + -10 Combine like terms: 10 + -10 = 0 0 + 7m = 17 + -10 7m = 17 + -10 Combine like terms: 17 + -10 = 7 7m = 7 Divide each side by '7'. m = 1 Simplifying m = 1
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