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Simplifying 5(x + 3) + -1(6n + 8) = 0 Reorder the terms: 5(3 + x) + -1(6n + 8) = 0 (3 * 5 + x * 5) + -1(6n + 8) = 0 (15 + 5x) + -1(6n + 8) = 0 Reorder the terms: 15 + 5x + -1(8 + 6n) = 0 15 + 5x + (8 * -1 + 6n * -1) = 0 15 + 5x + (-8 + -6n) = 0 Reorder the terms: 15 + -8 + -6n + 5x = 0 Combine like terms: 15 + -8 = 7 7 + -6n + 5x = 0 Solving 7 + -6n + 5x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -6n + -7 + 5x = 0 + -7 Reorder the terms: 7 + -7 + -6n + 5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6n + 5x = 0 + -7 -6n + 5x = 0 + -7 Combine like terms: 0 + -7 = -7 -6n + 5x = -7 Add '-5x' to each side of the equation. -6n + 5x + -5x = -7 + -5x Combine like terms: 5x + -5x = 0 -6n + 0 = -7 + -5x -6n = -7 + -5x Divide each side by '-6'. n = 1.166666667 + 0.8333333333x Simplifying n = 1.166666667 + 0.8333333333x
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