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Simplifying 7n + -7n = 9(6 + 3n) + -6(5n + 5) Combine like terms: 7n + -7n = 0 0 = 9(6 + 3n) + -6(5n + 5) 0 = (6 * 9 + 3n * 9) + -6(5n + 5) 0 = (54 + 27n) + -6(5n + 5) Reorder the terms: 0 = 54 + 27n + -6(5 + 5n) 0 = 54 + 27n + (5 * -6 + 5n * -6) 0 = 54 + 27n + (-30 + -30n) Reorder the terms: 0 = 54 + -30 + 27n + -30n Combine like terms: 54 + -30 = 24 0 = 24 + 27n + -30n Combine like terms: 27n + -30n = -3n 0 = 24 + -3n Solving 0 = 24 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 0 + 3n = 24 + -3n + 3n Remove the zero: 3n = 24 + -3n + 3n Combine like terms: -3n + 3n = 0 3n = 24 + 0 3n = 24 Divide each side by '3'. n = 8 Simplifying n = 8
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