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Simplifying 32 = 4(v + 3) + -6v Reorder the terms: 32 = 4(3 + v) + -6v 32 = (3 * 4 + v * 4) + -6v 32 = (12 + 4v) + -6v Combine like terms: 4v + -6v = -2v 32 = 12 + -2v Solving 32 = 12 + -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 = 12 + -2v + 2v Combine like terms: -2v + 2v = 0 32 + 2v = 12 + 0 32 + 2v = 12 Add '-32' to each side of the equation. 32 + -32 + 2v = 12 + -32 Combine like terms: 32 + -32 = 0 0 + 2v = 12 + -32 2v = 12 + -32 Combine like terms: 12 + -32 = -20 2v = -20 Divide each side by '2'. v = -10 Simplifying v = -10
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