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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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