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Simplifying -32 = 2(v + 4) + 3v Reorder the terms: -32 = 2(4 + v) + 3v -32 = (4 * 2 + v * 2) + 3v -32 = (8 + 2v) + 3v Combine like terms: 2v + 3v = 5v -32 = 8 + 5v Solving -32 = 8 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -32 + -5v = 8 + 5v + -5v Combine like terms: 5v + -5v = 0 -32 + -5v = 8 + 0 -32 + -5v = 8 Add '32' to each side of the equation. -32 + 32 + -5v = 8 + 32 Combine like terms: -32 + 32 = 0 0 + -5v = 8 + 32 -5v = 8 + 32 Combine like terms: 8 + 32 = 40 -5v = 40 Divide each side by '-5'. v = -8 Simplifying v = -8
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