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Simplifying -113 = -7(3n + 5) + -5n Reorder the terms: -113 = -7(5 + 3n) + -5n -113 = (5 * -7 + 3n * -7) + -5n -113 = (-35 + -21n) + -5n Combine like terms: -21n + -5n = -26n -113 = -35 + -26n Solving -113 = -35 + -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. -113 + 26n = -35 + -26n + 26n Combine like terms: -26n + 26n = 0 -113 + 26n = -35 + 0 -113 + 26n = -35 Add '113' to each side of the equation. -113 + 113 + 26n = -35 + 113 Combine like terms: -113 + 113 = 0 0 + 26n = -35 + 113 26n = -35 + 113 Combine like terms: -35 + 113 = 78 26n = 78 Divide each side by '26'. n = 3 Simplifying n = 3
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