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Simplifying -180 = 6n + 4(5n + 7) Reorder the terms: -180 = 6n + 4(7 + 5n) -180 = 6n + (7 * 4 + 5n * 4) -180 = 6n + (28 + 20n) Reorder the terms: -180 = 28 + 6n + 20n Combine like terms: 6n + 20n = 26n -180 = 28 + 26n Solving -180 = 28 + 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. -180 + -26n = 28 + 26n + -26n Combine like terms: 26n + -26n = 0 -180 + -26n = 28 + 0 -180 + -26n = 28 Add '180' to each side of the equation. -180 + 180 + -26n = 28 + 180 Combine like terms: -180 + 180 = 0 0 + -26n = 28 + 180 -26n = 28 + 180 Combine like terms: 28 + 180 = 208 -26n = 208 Divide each side by '-26'. n = -8 Simplifying n = -8
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