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Simplifying 4(2 + v) + 33v = 15v (2 * 4 + v * 4) + 33v = 15v (8 + 4v) + 33v = 15v Combine like terms: 4v + 33v = 37v 8 + 37v = 15v Solving 8 + 37v = 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. 8 + 37v + -15v = 15v + -15v Combine like terms: 37v + -15v = 22v 8 + 22v = 15v + -15v Combine like terms: 15v + -15v = 0 8 + 22v = 0 Add '-8' to each side of the equation. 8 + -8 + 22v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 22v = 0 + -8 22v = 0 + -8 Combine like terms: 0 + -8 = -8 22v = -8 Divide each side by '22'. v = -0.3636363636 Simplifying v = -0.3636363636
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