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Simplifying 6n + -1(8n + 15) = 5 + -1(12n + -9) Reorder the terms: 6n + -1(15 + 8n) = 5 + -1(12n + -9) 6n + (15 * -1 + 8n * -1) = 5 + -1(12n + -9) 6n + (-15 + -8n) = 5 + -1(12n + -9) Reorder the terms: -15 + 6n + -8n = 5 + -1(12n + -9) Combine like terms: 6n + -8n = -2n -15 + -2n = 5 + -1(12n + -9) Reorder the terms: -15 + -2n = 5 + -1(-9 + 12n) -15 + -2n = 5 + (-9 * -1 + 12n * -1) -15 + -2n = 5 + (9 + -12n) Combine like terms: 5 + 9 = 14 -15 + -2n = 14 + -12n Solving -15 + -2n = 14 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -15 + -2n + 12n = 14 + -12n + 12n Combine like terms: -2n + 12n = 10n -15 + 10n = 14 + -12n + 12n Combine like terms: -12n + 12n = 0 -15 + 10n = 14 + 0 -15 + 10n = 14 Add '15' to each side of the equation. -15 + 15 + 10n = 14 + 15 Combine like terms: -15 + 15 = 0 0 + 10n = 14 + 15 10n = 14 + 15 Combine like terms: 14 + 15 = 29 10n = 29 Divide each side by '10'. n = 2.9 Simplifying n = 2.9
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