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Simplifying -59 = 6(6 + 6n) + -5(-7 + 2n) -59 = (6 * 6 + 6n * 6) + -5(-7 + 2n) -59 = (36 + 36n) + -5(-7 + 2n) -59 = 36 + 36n + (-7 * -5 + 2n * -5) -59 = 36 + 36n + (35 + -10n) Reorder the terms: -59 = 36 + 35 + 36n + -10n Combine like terms: 36 + 35 = 71 -59 = 71 + 36n + -10n Combine like terms: 36n + -10n = 26n -59 = 71 + 26n Solving -59 = 71 + 26n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-26n' to each side of the equation. -59 + -26n = 71 + 26n + -26n Combine like terms: 26n + -26n = 0 -59 + -26n = 71 + 0 -59 + -26n = 71 Add '59' to each side of the equation. -59 + 59 + -26n = 71 + 59 Combine like terms: -59 + 59 = 0 0 + -26n = 71 + 59 -26n = 71 + 59 Combine like terms: 71 + 59 = 130 -26n = 130 Divide each side by '-26'. n = -5 Simplifying n = -5
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