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Simplifying 12m + 7 = 3m + 52 Reorder the terms: 7 + 12m = 3m + 52 Reorder the terms: 7 + 12m = 52 + 3m Solving 7 + 12m = 52 + 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. 7 + 12m + -3m = 52 + 3m + -3m Combine like terms: 12m + -3m = 9m 7 + 9m = 52 + 3m + -3m Combine like terms: 3m + -3m = 0 7 + 9m = 52 + 0 7 + 9m = 52 Add '-7' to each side of the equation. 7 + -7 + 9m = 52 + -7 Combine like terms: 7 + -7 = 0 0 + 9m = 52 + -7 9m = 52 + -7 Combine like terms: 52 + -7 = 45 9m = 45 Divide each side by '9'. m = 5 Simplifying m = 5
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