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