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Simplifying 15 + -3m + 3 = 5 + 4m + -14 Reorder the terms: 15 + 3 + -3m = 5 + 4m + -14 Combine like terms: 15 + 3 = 18 18 + -3m = 5 + 4m + -14 Reorder the terms: 18 + -3m = 5 + -14 + 4m Combine like terms: 5 + -14 = -9 18 + -3m = -9 + 4m Solving 18 + -3m = -9 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 18 + -3m + -4m = -9 + 4m + -4m Combine like terms: -3m + -4m = -7m 18 + -7m = -9 + 4m + -4m Combine like terms: 4m + -4m = 0 18 + -7m = -9 + 0 18 + -7m = -9 Add '-18' to each side of the equation. 18 + -18 + -7m = -9 + -18 Combine like terms: 18 + -18 = 0 0 + -7m = -9 + -18 -7m = -9 + -18 Combine like terms: -9 + -18 = -27 -7m = -27 Divide each side by '-7'. m = 3.857142857 Simplifying m = 3.857142857
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