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Simplifying 3(v + 1) = -2v + -32 Reorder the terms: 3(1 + v) = -2v + -32 (1 * 3 + v * 3) = -2v + -32 (3 + 3v) = -2v + -32 Reorder the terms: 3 + 3v = -32 + -2v Solving 3 + 3v = -32 + -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. 3 + 3v + 2v = -32 + -2v + 2v Combine like terms: 3v + 2v = 5v 3 + 5v = -32 + -2v + 2v Combine like terms: -2v + 2v = 0 3 + 5v = -32 + 0 3 + 5v = -32 Add '-3' to each side of the equation. 3 + -3 + 5v = -32 + -3 Combine like terms: 3 + -3 = 0 0 + 5v = -32 + -3 5v = -32 + -3 Combine like terms: -32 + -3 = -35 5v = -35 Divide each side by '5'. v = -7 Simplifying v = -7
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