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Simplifying 4 + 12m + -2 = 7m + 38 + -4m Reorder the terms: 4 + -2 + 12m = 7m + 38 + -4m Combine like terms: 4 + -2 = 2 2 + 12m = 7m + 38 + -4m Reorder the terms: 2 + 12m = 38 + 7m + -4m Combine like terms: 7m + -4m = 3m 2 + 12m = 38 + 3m Solving 2 + 12m = 38 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 2 + 12m + -3m = 38 + 3m + -3m Combine like terms: 12m + -3m = 9m 2 + 9m = 38 + 3m + -3m Combine like terms: 3m + -3m = 0 2 + 9m = 38 + 0 2 + 9m = 38 Add '-2' to each side of the equation. 2 + -2 + 9m = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 9m = 38 + -2 9m = 38 + -2 Combine like terms: 38 + -2 = 36 9m = 36 Divide each side by '9'. m = 4 Simplifying m = 4
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