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Simplifying 5(x + 2) + -1(6n + 4) = 0 Reorder the terms: 5(2 + x) + -1(6n + 4) = 0 (2 * 5 + x * 5) + -1(6n + 4) = 0 (10 + 5x) + -1(6n + 4) = 0 Reorder the terms: 10 + 5x + -1(4 + 6n) = 0 10 + 5x + (4 * -1 + 6n * -1) = 0 10 + 5x + (-4 + -6n) = 0 Reorder the terms: 10 + -4 + -6n + 5x = 0 Combine like terms: 10 + -4 = 6 6 + -6n + 5x = 0 Solving 6 + -6n + 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 + -6n + -6 + 5x = 0 + -6 Reorder the terms: 6 + -6 + -6n + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -6n + 5x = 0 + -6 -6n + 5x = 0 + -6 Combine like terms: 0 + -6 = -6 -6n + 5x = -6 Add '-5x' to each side of the equation. -6n + 5x + -5x = -6 + -5x Combine like terms: 5x + -5x = 0 -6n + 0 = -6 + -5x -6n = -6 + -5x Divide each side by '-6'. n = 1 + 0.8333333333x Simplifying n = 1 + 0.8333333333x
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