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Simplifying 6(x + 3) + -1(5n + 9) = 0 Reorder the terms: 6(3 + x) + -1(5n + 9) = 0 (3 * 6 + x * 6) + -1(5n + 9) = 0 (18 + 6x) + -1(5n + 9) = 0 Reorder the terms: 18 + 6x + -1(9 + 5n) = 0 18 + 6x + (9 * -1 + 5n * -1) = 0 18 + 6x + (-9 + -5n) = 0 Reorder the terms: 18 + -9 + -5n + 6x = 0 Combine like terms: 18 + -9 = 9 9 + -5n + 6x = 0 Solving 9 + -5n + 6x = 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 + -5n + -9 + 6x = 0 + -9 Reorder the terms: 9 + -9 + -5n + 6x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5n + 6x = 0 + -9 -5n + 6x = 0 + -9 Combine like terms: 0 + -9 = -9 -5n + 6x = -9 Add '-6x' to each side of the equation. -5n + 6x + -6x = -9 + -6x Combine like terms: 6x + -6x = 0 -5n + 0 = -9 + -6x -5n = -9 + -6x Divide each side by '-5'. n = 1.8 + 1.2x Simplifying n = 1.8 + 1.2x
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