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Simplifying -3(v + -6) + 8 = 32 + -5v Reorder the terms: -3(-6 + v) + 8 = 32 + -5v (-6 * -3 + v * -3) + 8 = 32 + -5v (18 + -3v) + 8 = 32 + -5v Reorder the terms: 18 + 8 + -3v = 32 + -5v Combine like terms: 18 + 8 = 26 26 + -3v = 32 + -5v Solving 26 + -3v = 32 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 26 + -3v + 5v = 32 + -5v + 5v Combine like terms: -3v + 5v = 2v 26 + 2v = 32 + -5v + 5v Combine like terms: -5v + 5v = 0 26 + 2v = 32 + 0 26 + 2v = 32 Add '-26' to each side of the equation. 26 + -26 + 2v = 32 + -26 Combine like terms: 26 + -26 = 0 0 + 2v = 32 + -26 2v = 32 + -26 Combine like terms: 32 + -26 = 6 2v = 6 Divide each side by '2'. v = 3 Simplifying v = 3
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