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Simplifying 5(3n + 1) = 12n + 14 Reorder the terms: 5(1 + 3n) = 12n + 14 (1 * 5 + 3n * 5) = 12n + 14 (5 + 15n) = 12n + 14 Reorder the terms: 5 + 15n = 14 + 12n Solving 5 + 15n = 14 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 5 + 15n + -12n = 14 + 12n + -12n Combine like terms: 15n + -12n = 3n 5 + 3n = 14 + 12n + -12n Combine like terms: 12n + -12n = 0 5 + 3n = 14 + 0 5 + 3n = 14 Add '-5' to each side of the equation. 5 + -5 + 3n = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 3n = 14 + -5 3n = 14 + -5 Combine like terms: 14 + -5 = 9 3n = 9 Divide each side by '3'. n = 3 Simplifying n = 3
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