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Simplifying 5m + 35 = 37 + 3(3m + -2) Reorder the terms: 35 + 5m = 37 + 3(3m + -2) Reorder the terms: 35 + 5m = 37 + 3(-2 + 3m) 35 + 5m = 37 + (-2 * 3 + 3m * 3) 35 + 5m = 37 + (-6 + 9m) Combine like terms: 37 + -6 = 31 35 + 5m = 31 + 9m Solving 35 + 5m = 31 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 35 + 5m + -9m = 31 + 9m + -9m Combine like terms: 5m + -9m = -4m 35 + -4m = 31 + 9m + -9m Combine like terms: 9m + -9m = 0 35 + -4m = 31 + 0 35 + -4m = 31 Add '-35' to each side of the equation. 35 + -35 + -4m = 31 + -35 Combine like terms: 35 + -35 = 0 0 + -4m = 31 + -35 -4m = 31 + -35 Combine like terms: 31 + -35 = -4 -4m = -4 Divide each side by '-4'. m = 1 Simplifying m = 1
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