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Simplifying 4n + -2(v + -6) = -8 Reorder the terms: 4n + -2(-6 + v) = -8 4n + (-6 * -2 + v * -2) = -8 4n + (12 + -2v) = -8 Reorder the terms: 12 + 4n + -2v = -8 Solving 12 + 4n + -2v = -8 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 4n + -12 + -2v = -8 + -12 Reorder the terms: 12 + -12 + 4n + -2v = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 4n + -2v = -8 + -12 4n + -2v = -8 + -12 Combine like terms: -8 + -12 = -20 4n + -2v = -20 Add '2v' to each side of the equation. 4n + -2v + 2v = -20 + 2v Combine like terms: -2v + 2v = 0 4n + 0 = -20 + 2v 4n = -20 + 2v Divide each side by '4'. n = -5 + 0.5v Simplifying n = -5 + 0.5v
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