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Simplifying -3(5 + -9v) = 257v (5 * -3 + -9v * -3) = 257v (-15 + 27v) = 257v Solving -15 + 27v = 257v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-257v' to each side of the equation. -15 + 27v + -257v = 257v + -257v Combine like terms: 27v + -257v = -230v -15 + -230v = 257v + -257v Combine like terms: 257v + -257v = 0 -15 + -230v = 0 Add '15' to each side of the equation. -15 + 15 + -230v = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -230v = 0 + 15 -230v = 0 + 15 Combine like terms: 0 + 15 = 15 -230v = 15 Divide each side by '-230'. v = -0.0652173913 Simplifying v = -0.0652173913
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