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Simplifying 5m + 14 = 9m + -2 Reorder the terms: 14 + 5m = 9m + -2 Reorder the terms: 14 + 5m = -2 + 9m Solving 14 + 5m = -2 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 14 + 5m + -9m = -2 + 9m + -9m Combine like terms: 5m + -9m = -4m 14 + -4m = -2 + 9m + -9m Combine like terms: 9m + -9m = 0 14 + -4m = -2 + 0 14 + -4m = -2 Add '-14' to each side of the equation. 14 + -14 + -4m = -2 + -14 Combine like terms: 14 + -14 = 0 0 + -4m = -2 + -14 -4m = -2 + -14 Combine like terms: -2 + -14 = -16 -4m = -16 Divide each side by '-4'. m = 4 Simplifying m = 4
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