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Simplifying 46 = 3(2 + 4m) + -2m 46 = (2 * 3 + 4m * 3) + -2m 46 = (6 + 12m) + -2m Combine like terms: 12m + -2m = 10m 46 = 6 + 10m Solving 46 = 6 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 46 + -10m = 6 + 10m + -10m Combine like terms: 10m + -10m = 0 46 + -10m = 6 + 0 46 + -10m = 6 Add '-46' to each side of the equation. 46 + -46 + -10m = 6 + -46 Combine like terms: 46 + -46 = 0 0 + -10m = 6 + -46 -10m = 6 + -46 Combine like terms: 6 + -46 = -40 -10m = -40 Divide each side by '-10'. m = 4 Simplifying m = 4
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