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Simplifying 4 + 3m = 46 + -4m Solving 4 + 3m = 46 + -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. 4 + 3m + 4m = 46 + -4m + 4m Combine like terms: 3m + 4m = 7m 4 + 7m = 46 + -4m + 4m Combine like terms: -4m + 4m = 0 4 + 7m = 46 + 0 4 + 7m = 46 Add '-4' to each side of the equation. 4 + -4 + 7m = 46 + -4 Combine like terms: 4 + -4 = 0 0 + 7m = 46 + -4 7m = 46 + -4 Combine like terms: 46 + -4 = 42 7m = 42 Divide each side by '7'. m = 6 Simplifying m = 6
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