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Simplifying 32 = 4(v + 4) + -2v Reorder the terms: 32 = 4(4 + v) + -2v 32 = (4 * 4 + v * 4) + -2v 32 = (16 + 4v) + -2v Combine like terms: 4v + -2v = 2v 32 = 16 + 2v Solving 32 = 16 + 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 = 16 + 2v + -2v Combine like terms: 2v + -2v = 0 32 + -2v = 16 + 0 32 + -2v = 16 Add '-32' to each side of the equation. 32 + -32 + -2v = 16 + -32 Combine like terms: 32 + -32 = 0 0 + -2v = 16 + -32 -2v = 16 + -32 Combine like terms: 16 + -32 = -16 -2v = -16 Divide each side by '-2'. v = 8 Simplifying v = 8
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