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Simplifying 3(5 + -9v) = 25 + 7v (5 * 3 + -9v * 3) = 25 + 7v (15 + -27v) = 25 + 7v Solving 15 + -27v = 25 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 15 + -27v + -7v = 25 + 7v + -7v Combine like terms: -27v + -7v = -34v 15 + -34v = 25 + 7v + -7v Combine like terms: 7v + -7v = 0 15 + -34v = 25 + 0 15 + -34v = 25 Add '-15' to each side of the equation. 15 + -15 + -34v = 25 + -15 Combine like terms: 15 + -15 = 0 0 + -34v = 25 + -15 -34v = 25 + -15 Combine like terms: 25 + -15 = 10 -34v = 10 Divide each side by '-34'. v = -0.2941176471 Simplifying v = -0.2941176471
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