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Simplifying 3(5 + v) = 4 + -8v (5 * 3 + v * 3) = 4 + -8v (15 + 3v) = 4 + -8v Solving 15 + 3v = 4 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 15 + 3v + 8v = 4 + -8v + 8v Combine like terms: 3v + 8v = 11v 15 + 11v = 4 + -8v + 8v Combine like terms: -8v + 8v = 0 15 + 11v = 4 + 0 15 + 11v = 4 Add '-15' to each side of the equation. 15 + -15 + 11v = 4 + -15 Combine like terms: 15 + -15 = 0 0 + 11v = 4 + -15 11v = 4 + -15 Combine like terms: 4 + -15 = -11 11v = -11 Divide each side by '11'. v = -1 Simplifying v = -1
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