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Simplifying -5 = -8v + 5(v + -4) Reorder the terms: -5 = -8v + 5(-4 + v) -5 = -8v + (-4 * 5 + v * 5) -5 = -8v + (-20 + 5v) Reorder the terms: -5 = -20 + -8v + 5v Combine like terms: -8v + 5v = -3v -5 = -20 + -3v Solving -5 = -20 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -5 + 3v = -20 + -3v + 3v Combine like terms: -3v + 3v = 0 -5 + 3v = -20 + 0 -5 + 3v = -20 Add '5' to each side of the equation. -5 + 5 + 3v = -20 + 5 Combine like terms: -5 + 5 = 0 0 + 3v = -20 + 5 3v = -20 + 5 Combine like terms: -20 + 5 = -15 3v = -15 Divide each side by '3'. v = -5 Simplifying v = -5
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