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Simplifying 3(1 + 4n) = 3m + 21 (1 * 3 + 4n * 3) = 3m + 21 (3 + 12n) = 3m + 21 Reorder the terms: 3 + 12n = 21 + 3m Solving 3 + 12n = 21 + 3m Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 12n = 21 + -3 + 3m Combine like terms: 3 + -3 = 0 0 + 12n = 21 + -3 + 3m 12n = 21 + -3 + 3m Combine like terms: 21 + -3 = 18 12n = 18 + 3m Divide each side by '12'. n = 1.5 + 0.25m Simplifying n = 1.5 + 0.25m
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