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Simplifying -7(n + -5) + 4(n + 1) = 0 Reorder the terms: -7(-5 + n) + 4(n + 1) = 0 (-5 * -7 + n * -7) + 4(n + 1) = 0 (35 + -7n) + 4(n + 1) = 0 Reorder the terms: 35 + -7n + 4(1 + n) = 0 35 + -7n + (1 * 4 + n * 4) = 0 35 + -7n + (4 + 4n) = 0 Reorder the terms: 35 + 4 + -7n + 4n = 0 Combine like terms: 35 + 4 = 39 39 + -7n + 4n = 0 Combine like terms: -7n + 4n = -3n 39 + -3n = 0 Solving 39 + -3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -3n = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -3n = 0 + -39 -3n = 0 + -39 Combine like terms: 0 + -39 = -39 -3n = -39 Divide each side by '-3'. n = 13 Simplifying n = 13
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