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Simplifying -60 = -7(6 + -7n) + 6(5n + -3) -60 = (6 * -7 + -7n * -7) + 6(5n + -3) -60 = (-42 + 49n) + 6(5n + -3) Reorder the terms: -60 = -42 + 49n + 6(-3 + 5n) -60 = -42 + 49n + (-3 * 6 + 5n * 6) -60 = -42 + 49n + (-18 + 30n) Reorder the terms: -60 = -42 + -18 + 49n + 30n Combine like terms: -42 + -18 = -60 -60 = -60 + 49n + 30n Combine like terms: 49n + 30n = 79n -60 = -60 + 79n Add '60' to each side of the equation. -60 + 60 = -60 + 60 + 79n Combine like terms: -60 + 60 = 0 0 = -60 + 60 + 79n Combine like terms: -60 + 60 = 0 0 = 0 + 79n 0 = 79n Solving 0 = 79n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-79n' to each side of the equation. 0 + -79n = 79n + -79n Remove the zero: -79n = 79n + -79n Combine like terms: 79n + -79n = 0 -79n = 0 Divide each side by '-79'. n = 0 Simplifying n = 0
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