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Simplifying 5(x + 3) + -1(9n + 6) = 0 Reorder the terms: 5(3 + x) + -1(9n + 6) = 0 (3 * 5 + x * 5) + -1(9n + 6) = 0 (15 + 5x) + -1(9n + 6) = 0 Reorder the terms: 15 + 5x + -1(6 + 9n) = 0 15 + 5x + (6 * -1 + 9n * -1) = 0 15 + 5x + (-6 + -9n) = 0 Reorder the terms: 15 + -6 + -9n + 5x = 0 Combine like terms: 15 + -6 = 9 9 + -9n + 5x = 0 Solving 9 + -9n + 5x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9n + -9 + 5x = 0 + -9 Reorder the terms: 9 + -9 + -9n + 5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -9n + 5x = 0 + -9 -9n + 5x = 0 + -9 Combine like terms: 0 + -9 = -9 -9n + 5x = -9 Add '-5x' to each side of the equation. -9n + 5x + -5x = -9 + -5x Combine like terms: 5x + -5x = 0 -9n + 0 = -9 + -5x -9n = -9 + -5x Divide each side by '-9'. n = 1 + 0.5555555556x Simplifying n = 1 + 0.5555555556x
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