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Simplifying 34 + m = 46 + -3m Solving 34 + m = 46 + -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. 34 + m + 3m = 46 + -3m + 3m Combine like terms: m + 3m = 4m 34 + 4m = 46 + -3m + 3m Combine like terms: -3m + 3m = 0 34 + 4m = 46 + 0 34 + 4m = 46 Add '-34' to each side of the equation. 34 + -34 + 4m = 46 + -34 Combine like terms: 34 + -34 = 0 0 + 4m = 46 + -34 4m = 46 + -34 Combine like terms: 46 + -34 = 12 4m = 12 Divide each side by '4'. m = 3 Simplifying m = 3
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