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Simplifying 261 = -2v + -5(1 + -8v) 261 = -2v + (1 * -5 + -8v * -5) 261 = -2v + (-5 + 40v) Reorder the terms: 261 = -5 + -2v + 40v Combine like terms: -2v + 40v = 38v 261 = -5 + 38v Solving 261 = -5 + 38v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-38v' to each side of the equation. 261 + -38v = -5 + 38v + -38v Combine like terms: 38v + -38v = 0 261 + -38v = -5 + 0 261 + -38v = -5 Add '-261' to each side of the equation. 261 + -261 + -38v = -5 + -261 Combine like terms: 261 + -261 = 0 0 + -38v = -5 + -261 -38v = -5 + -261 Combine like terms: -5 + -261 = -266 -38v = -266 Divide each side by '-38'. v = 7 Simplifying v = 7
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