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Simplifying 20 = 3(v + 5) + -8v Reorder the terms: 20 = 3(5 + v) + -8v 20 = (5 * 3 + v * 3) + -8v 20 = (15 + 3v) + -8v Combine like terms: 3v + -8v = -5v 20 = 15 + -5v Solving 20 = 15 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 20 + 5v = 15 + -5v + 5v Combine like terms: -5v + 5v = 0 20 + 5v = 15 + 0 20 + 5v = 15 Add '-20' to each side of the equation. 20 + -20 + 5v = 15 + -20 Combine like terms: 20 + -20 = 0 0 + 5v = 15 + -20 5v = 15 + -20 Combine like terms: 15 + -20 = -5 5v = -5 Divide each side by '5'. v = -1 Simplifying v = -1
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