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Simplifying -8v + 3(-5v + 5) = -146 Reorder the terms: -8v + 3(5 + -5v) = -146 -8v + (5 * 3 + -5v * 3) = -146 -8v + (15 + -15v) = -146 Reorder the terms: 15 + -8v + -15v = -146 Combine like terms: -8v + -15v = -23v 15 + -23v = -146 Solving 15 + -23v = -146 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -23v = -146 + -15 Combine like terms: 15 + -15 = 0 0 + -23v = -146 + -15 -23v = -146 + -15 Combine like terms: -146 + -15 = -161 -23v = -161 Divide each side by '-23'. v = 7 Simplifying v = 7
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