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Simplifying 34 + 2m = 4(1 + 3m) 34 + 2m = (1 * 4 + 3m * 4) 34 + 2m = (4 + 12m) Solving 34 + 2m = 4 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 34 + 2m + -12m = 4 + 12m + -12m Combine like terms: 2m + -12m = -10m 34 + -10m = 4 + 12m + -12m Combine like terms: 12m + -12m = 0 34 + -10m = 4 + 0 34 + -10m = 4 Add '-34' to each side of the equation. 34 + -34 + -10m = 4 + -34 Combine like terms: 34 + -34 = 0 0 + -10m = 4 + -34 -10m = 4 + -34 Combine like terms: 4 + -34 = -30 -10m = -30 Divide each side by '-10'. m = 3 Simplifying m = 3
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