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Simplifying 9(2 + v) + 34v = 15v (2 * 9 + v * 9) + 34v = 15v (18 + 9v) + 34v = 15v Combine like terms: 9v + 34v = 43v 18 + 43v = 15v Solving 18 + 43v = 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. 18 + 43v + -15v = 15v + -15v Combine like terms: 43v + -15v = 28v 18 + 28v = 15v + -15v Combine like terms: 15v + -15v = 0 18 + 28v = 0 Add '-18' to each side of the equation. 18 + -18 + 28v = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 28v = 0 + -18 28v = 0 + -18 Combine like terms: 0 + -18 = -18 28v = -18 Divide each side by '28'. v = -0.6428571429 Simplifying v = -0.6428571429
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