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Simplifying 3m + 4(1 + 2m) = 18 + -3m 3m + (1 * 4 + 2m * 4) = 18 + -3m 3m + (4 + 8m) = 18 + -3m Reorder the terms: 4 + 3m + 8m = 18 + -3m Combine like terms: 3m + 8m = 11m 4 + 11m = 18 + -3m Solving 4 + 11m = 18 + -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. 4 + 11m + 3m = 18 + -3m + 3m Combine like terms: 11m + 3m = 14m 4 + 14m = 18 + -3m + 3m Combine like terms: -3m + 3m = 0 4 + 14m = 18 + 0 4 + 14m = 18 Add '-4' to each side of the equation. 4 + -4 + 14m = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 14m = 18 + -4 14m = 18 + -4 Combine like terms: 18 + -4 = 14 14m = 14 Divide each side by '14'. m = 1 Simplifying m = 1
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