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Simplifying 5(x + 3) + -1(4n + 9) = 0 Reorder the terms: 5(3 + x) + -1(4n + 9) = 0 (3 * 5 + x * 5) + -1(4n + 9) = 0 (15 + 5x) + -1(4n + 9) = 0 Reorder the terms: 15 + 5x + -1(9 + 4n) = 0 15 + 5x + (9 * -1 + 4n * -1) = 0 15 + 5x + (-9 + -4n) = 0 Reorder the terms: 15 + -9 + -4n + 5x = 0 Combine like terms: 15 + -9 = 6 6 + -4n + 5x = 0 Solving 6 + -4n + 5x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -4n + -6 + 5x = 0 + -6 Reorder the terms: 6 + -6 + -4n + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -4n + 5x = 0 + -6 -4n + 5x = 0 + -6 Combine like terms: 0 + -6 = -6 -4n + 5x = -6 Add '-5x' to each side of the equation. -4n + 5x + -5x = -6 + -5x Combine like terms: 5x + -5x = 0 -4n + 0 = -6 + -5x -4n = -6 + -5x Divide each side by '-4'. n = 1.5 + 1.25x Simplifying n = 1.5 + 1.25x
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