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Simplifying -7(n + -3) + 5(n + 1) = 0 Reorder the terms: -7(-3 + n) + 5(n + 1) = 0 (-3 * -7 + n * -7) + 5(n + 1) = 0 (21 + -7n) + 5(n + 1) = 0 Reorder the terms: 21 + -7n + 5(1 + n) = 0 21 + -7n + (1 * 5 + n * 5) = 0 21 + -7n + (5 + 5n) = 0 Reorder the terms: 21 + 5 + -7n + 5n = 0 Combine like terms: 21 + 5 = 26 26 + -7n + 5n = 0 Combine like terms: -7n + 5n = -2n 26 + -2n = 0 Solving 26 + -2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -2n = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -2n = 0 + -26 -2n = 0 + -26 Combine like terms: 0 + -26 = -26 -2n = -26 Divide each side by '-2'. n = 13 Simplifying n = 13
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