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Simplifying 7(5 + 3n) + 6n = 0 (5 * 7 + 3n * 7) + 6n = 0 (35 + 21n) + 6n = 0 Combine like terms: 21n + 6n = 27n 35 + 27n = 0 Solving 35 + 27n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 27n = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 27n = 0 + -35 27n = 0 + -35 Combine like terms: 0 + -35 = -35 27n = -35 Divide each side by '27'. n = -1.296296296 Simplifying n = -1.296296296
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