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Simplifying 3(-5v + 8) = -1v + -32 Reorder the terms: 3(8 + -5v) = -1v + -32 (8 * 3 + -5v * 3) = -1v + -32 (24 + -15v) = -1v + -32 Reorder the terms: 24 + -15v = -32 + -1v Solving 24 + -15v = -32 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 24 + -15v + v = -32 + -1v + v Combine like terms: -15v + v = -14v 24 + -14v = -32 + -1v + v Combine like terms: -1v + v = 0 24 + -14v = -32 + 0 24 + -14v = -32 Add '-24' to each side of the equation. 24 + -24 + -14v = -32 + -24 Combine like terms: 24 + -24 = 0 0 + -14v = -32 + -24 -14v = -32 + -24 Combine like terms: -32 + -24 = -56 -14v = -56 Divide each side by '-14'. v = 4 Simplifying v = 4
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