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Simplifying -3m + 14 = 5m + 38 Reorder the terms: 14 + -3m = 5m + 38 Reorder the terms: 14 + -3m = 38 + 5m Solving 14 + -3m = 38 + 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. 14 + -3m + -5m = 38 + 5m + -5m Combine like terms: -3m + -5m = -8m 14 + -8m = 38 + 5m + -5m Combine like terms: 5m + -5m = 0 14 + -8m = 38 + 0 14 + -8m = 38 Add '-14' to each side of the equation. 14 + -14 + -8m = 38 + -14 Combine like terms: 14 + -14 = 0 0 + -8m = 38 + -14 -8m = 38 + -14 Combine like terms: 38 + -14 = 24 -8m = 24 Divide each side by '-8'. m = -3 Simplifying m = -3
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