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Simplifying -5(n + -4) + 2(n + 1) = 0 Reorder the terms: -5(-4 + n) + 2(n + 1) = 0 (-4 * -5 + n * -5) + 2(n + 1) = 0 (20 + -5n) + 2(n + 1) = 0 Reorder the terms: 20 + -5n + 2(1 + n) = 0 20 + -5n + (1 * 2 + n * 2) = 0 20 + -5n + (2 + 2n) = 0 Reorder the terms: 20 + 2 + -5n + 2n = 0 Combine like terms: 20 + 2 = 22 22 + -5n + 2n = 0 Combine like terms: -5n + 2n = -3n 22 + -3n = 0 Solving 22 + -3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -3n = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -3n = 0 + -22 -3n = 0 + -22 Combine like terms: 0 + -22 = -22 -3n = -22 Divide each side by '-3'. n = 7.333333333 Simplifying n = 7.333333333
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