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Simplifying -8(v + -4) + 2(n + 1) = 0 Reorder the terms: -8(-4 + v) + 2(n + 1) = 0 (-4 * -8 + v * -8) + 2(n + 1) = 0 (32 + -8v) + 2(n + 1) = 0 Reorder the terms: 32 + -8v + 2(1 + n) = 0 32 + -8v + (1 * 2 + n * 2) = 0 32 + -8v + (2 + 2n) = 0 Reorder the terms: 32 + 2 + 2n + -8v = 0 Combine like terms: 32 + 2 = 34 34 + 2n + -8v = 0 Solving 34 + 2n + -8v = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + 2n + -34 + -8v = 0 + -34 Reorder the terms: 34 + -34 + 2n + -8v = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 2n + -8v = 0 + -34 2n + -8v = 0 + -34 Combine like terms: 0 + -34 = -34 2n + -8v = -34 Add '8v' to each side of the equation. 2n + -8v + 8v = -34 + 8v Combine like terms: -8v + 8v = 0 2n + 0 = -34 + 8v 2n = -34 + 8v Divide each side by '2'. n = -17 + 4v Simplifying n = -17 + 4v
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