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Simplifying 32 = -4v + 2(v + -6) Reorder the terms: 32 = -4v + 2(-6 + v) 32 = -4v + (-6 * 2 + v * 2) 32 = -4v + (-12 + 2v) Reorder the terms: 32 = -12 + -4v + 2v Combine like terms: -4v + 2v = -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 = -44 2v = -44 Divide each side by '2'. v = -22 Simplifying v = -22
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