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Simplifying 46 + -3m = 4m + 14 Reorder the terms: 46 + -3m = 14 + 4m Solving 46 + -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. 46 + -3m + -4m = 14 + 4m + -4m Combine like terms: -3m + -4m = -7m 46 + -7m = 14 + 4m + -4m Combine like terms: 4m + -4m = 0 46 + -7m = 14 + 0 46 + -7m = 14 Add '-46' to each side of the equation. 46 + -46 + -7m = 14 + -46 Combine like terms: 46 + -46 = 0 0 + -7m = 14 + -46 -7m = 14 + -46 Combine like terms: 14 + -46 = -32 -7m = -32 Divide each side by '-7'. m = 4.571428571 Simplifying m = 4.571428571
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