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Simplifying 5 + 14m + -2 = 8m + 30 + -3m Reorder the terms: 5 + -2 + 14m = 8m + 30 + -3m Combine like terms: 5 + -2 = 3 3 + 14m = 8m + 30 + -3m Reorder the terms: 3 + 14m = 30 + 8m + -3m Combine like terms: 8m + -3m = 5m 3 + 14m = 30 + 5m Solving 3 + 14m = 30 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 3 + 14m + -5m = 30 + 5m + -5m Combine like terms: 14m + -5m = 9m 3 + 9m = 30 + 5m + -5m Combine like terms: 5m + -5m = 0 3 + 9m = 30 + 0 3 + 9m = 30 Add '-3' to each side of the equation. 3 + -3 + 9m = 30 + -3 Combine like terms: 3 + -3 = 0 0 + 9m = 30 + -3 9m = 30 + -3 Combine like terms: 30 + -3 = 27 9m = 27 Divide each side by '9'. m = 3 Simplifying m = 3
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