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Simplifying 8(1 + -5v) + 2v = -258 (1 * 8 + -5v * 8) + 2v = -258 (8 + -40v) + 2v = -258 Combine like terms: -40v + 2v = -38v 8 + -38v = -258 Solving 8 + -38v = -258 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -38v = -258 + -8 Combine like terms: 8 + -8 = 0 0 + -38v = -258 + -8 -38v = -258 + -8 Combine like terms: -258 + -8 = -266 -38v = -266 Divide each side by '-38'. v = 7 Simplifying v = 7
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