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Simplifying 7(x + 2) + -1(6n + 5) = 0 Reorder the terms: 7(2 + x) + -1(6n + 5) = 0 (2 * 7 + x * 7) + -1(6n + 5) = 0 (14 + 7x) + -1(6n + 5) = 0 Reorder the terms: 14 + 7x + -1(5 + 6n) = 0 14 + 7x + (5 * -1 + 6n * -1) = 0 14 + 7x + (-5 + -6n) = 0 Reorder the terms: 14 + -5 + -6n + 7x = 0 Combine like terms: 14 + -5 = 9 9 + -6n + 7x = 0 Solving 9 + -6n + 7x = 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 + -6n + -9 + 7x = 0 + -9 Reorder the terms: 9 + -9 + -6n + 7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -6n + 7x = 0 + -9 -6n + 7x = 0 + -9 Combine like terms: 0 + -9 = -9 -6n + 7x = -9 Add '-7x' to each side of the equation. -6n + 7x + -7x = -9 + -7x Combine like terms: 7x + -7x = 0 -6n + 0 = -9 + -7x -6n = -9 + -7x Divide each side by '-6'. n = 1.5 + 1.166666667x Simplifying n = 1.5 + 1.166666667x
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