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Simplifying 4(2 + v) + 35 = 15v (2 * 4 + v * 4) + 35 = 15v (8 + 4v) + 35 = 15v Reorder the terms: 8 + 35 + 4v = 15v Combine like terms: 8 + 35 = 43 43 + 4v = 15v Solving 43 + 4v = 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. 43 + 4v + -15v = 15v + -15v Combine like terms: 4v + -15v = -11v 43 + -11v = 15v + -15v Combine like terms: 15v + -15v = 0 43 + -11v = 0 Add '-43' to each side of the equation. 43 + -43 + -11v = 0 + -43 Combine like terms: 43 + -43 = 0 0 + -11v = 0 + -43 -11v = 0 + -43 Combine like terms: 0 + -43 = -43 -11v = -43 Divide each side by '-11'. v = 3.909090909 Simplifying v = 3.909090909
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