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Simplifying 5(3 + v) + 31v = 11v (3 * 5 + v * 5) + 31v = 11v (15 + 5v) + 31v = 11v Combine like terms: 5v + 31v = 36v 15 + 36v = 11v Solving 15 + 36v = 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. 15 + 36v + -11v = 11v + -11v Combine like terms: 36v + -11v = 25v 15 + 25v = 11v + -11v Combine like terms: 11v + -11v = 0 15 + 25v = 0 Add '-15' to each side of the equation. 15 + -15 + 25v = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 25v = 0 + -15 25v = 0 + -15 Combine like terms: 0 + -15 = -15 25v = -15 Divide each side by '25'. v = -0.6 Simplifying v = -0.6
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