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Simplifying 32 = 6v + -1(2v + -8) Reorder the terms: 32 = 6v + -1(-8 + 2v) 32 = 6v + (-8 * -1 + 2v * -1) 32 = 6v + (8 + -2v) Reorder the terms: 32 = 8 + 6v + -2v Combine like terms: 6v + -2v = 4v 32 = 8 + 4v Solving 32 = 8 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 32 + -4v = 8 + 4v + -4v Combine like terms: 4v + -4v = 0 32 + -4v = 8 + 0 32 + -4v = 8 Add '-32' to each side of the equation. 32 + -32 + -4v = 8 + -32 Combine like terms: 32 + -32 = 0 0 + -4v = 8 + -32 -4v = 8 + -32 Combine like terms: 8 + -32 = -24 -4v = -24 Divide each side by '-4'. v = 6 Simplifying v = 6
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