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Simplifying 5m + 14 = 3m + -2 Reorder the terms: 14 + 5m = 3m + -2 Reorder the terms: 14 + 5m = -2 + 3m Solving 14 + 5m = -2 + 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. 14 + 5m + -3m = -2 + 3m + -3m Combine like terms: 5m + -3m = 2m 14 + 2m = -2 + 3m + -3m Combine like terms: 3m + -3m = 0 14 + 2m = -2 + 0 14 + 2m = -2 Add '-14' to each side of the equation. 14 + -14 + 2m = -2 + -14 Combine like terms: 14 + -14 = 0 0 + 2m = -2 + -14 2m = -2 + -14 Combine like terms: -2 + -14 = -16 2m = -16 Divide each side by '2'. m = -8 Simplifying m = -8
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