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