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Simplifying 9n + -12(9 + -5n) = 6(9 + 10n) 9n + (9 * -12 + -5n * -12) = 6(9 + 10n) 9n + (-108 + 60n) = 6(9 + 10n) Reorder the terms: -108 + 9n + 60n = 6(9 + 10n) Combine like terms: 9n + 60n = 69n -108 + 69n = 6(9 + 10n) -108 + 69n = (9 * 6 + 10n * 6) -108 + 69n = (54 + 60n) Solving -108 + 69n = 54 + 60n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-60n' to each side of the equation. -108 + 69n + -60n = 54 + 60n + -60n Combine like terms: 69n + -60n = 9n -108 + 9n = 54 + 60n + -60n Combine like terms: 60n + -60n = 0 -108 + 9n = 54 + 0 -108 + 9n = 54 Add '108' to each side of the equation. -108 + 108 + 9n = 54 + 108 Combine like terms: -108 + 108 = 0 0 + 9n = 54 + 108 9n = 54 + 108 Combine like terms: 54 + 108 = 162 9n = 162 Divide each side by '9'. n = 18 Simplifying n = 18
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