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Simplifying 32 = 6(v + 3) + -8v Reorder the terms: 32 = 6(3 + v) + -8v 32 = (3 * 6 + v * 6) + -8v 32 = (18 + 6v) + -8v Combine like terms: 6v + -8v = -2v 32 = 18 + -2v Solving 32 = 18 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 32 + 2v = 18 + -2v + 2v Combine like terms: -2v + 2v = 0 32 + 2v = 18 + 0 32 + 2v = 18 Add '-32' to each side of the equation. 32 + -32 + 2v = 18 + -32 Combine like terms: 32 + -32 = 0 0 + 2v = 18 + -32 2v = 18 + -32 Combine like terms: 18 + -32 = -14 2v = -14 Divide each side by '2'. v = -7 Simplifying v = -7
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