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Simplifying 4m + 14 = -3m + 49 Reorder the terms: 14 + 4m = -3m + 49 Reorder the terms: 14 + 4m = 49 + -3m Solving 14 + 4m = 49 + -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 + 4m + 3m = 49 + -3m + 3m Combine like terms: 4m + 3m = 7m 14 + 7m = 49 + -3m + 3m Combine like terms: -3m + 3m = 0 14 + 7m = 49 + 0 14 + 7m = 49 Add '-14' to each side of the equation. 14 + -14 + 7m = 49 + -14 Combine like terms: 14 + -14 = 0 0 + 7m = 49 + -14 7m = 49 + -14 Combine like terms: 49 + -14 = 35 7m = 35 Divide each side by '7'. m = 5 Simplifying m = 5
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