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Simplifying 59 = 3(3 + 2n) + 2(1 + 5n) 59 = (3 * 3 + 2n * 3) + 2(1 + 5n) 59 = (9 + 6n) + 2(1 + 5n) 59 = 9 + 6n + (1 * 2 + 5n * 2) 59 = 9 + 6n + (2 + 10n) Reorder the terms: 59 = 9 + 2 + 6n + 10n Combine like terms: 9 + 2 = 11 59 = 11 + 6n + 10n Combine like terms: 6n + 10n = 16n 59 = 11 + 16n Solving 59 = 11 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 59 + -16n = 11 + 16n + -16n Combine like terms: 16n + -16n = 0 59 + -16n = 11 + 0 59 + -16n = 11 Add '-59' to each side of the equation. 59 + -59 + -16n = 11 + -59 Combine like terms: 59 + -59 = 0 0 + -16n = 11 + -59 -16n = 11 + -59 Combine like terms: 11 + -59 = -48 -16n = -48 Divide each side by '-16'. n = 3 Simplifying n = 3
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