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Simplifying 179 = 5n + 7(3n + 7) Reorder the terms: 179 = 5n + 7(7 + 3n) 179 = 5n + (7 * 7 + 3n * 7) 179 = 5n + (49 + 21n) Reorder the terms: 179 = 49 + 5n + 21n Combine like terms: 5n + 21n = 26n 179 = 49 + 26n Solving 179 = 49 + 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. 179 + -26n = 49 + 26n + -26n Combine like terms: 26n + -26n = 0 179 + -26n = 49 + 0 179 + -26n = 49 Add '-179' to each side of the equation. 179 + -179 + -26n = 49 + -179 Combine like terms: 179 + -179 = 0 0 + -26n = 49 + -179 -26n = 49 + -179 Combine like terms: 49 + -179 = -130 -26n = -130 Divide each side by '-26'. n = 5 Simplifying n = 5
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