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Simplifying -20 = 8(v + -4) + 4v Reorder the terms: -20 = 8(-4 + v) + 4v -20 = (-4 * 8 + v * 8) + 4v -20 = (-32 + 8v) + 4v Combine like terms: 8v + 4v = 12v -20 = -32 + 12v Solving -20 = -32 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -20 + -12v = -32 + 12v + -12v Combine like terms: 12v + -12v = 0 -20 + -12v = -32 + 0 -20 + -12v = -32 Add '20' to each side of the equation. -20 + 20 + -12v = -32 + 20 Combine like terms: -20 + 20 = 0 0 + -12v = -32 + 20 -12v = -32 + 20 Combine like terms: -32 + 20 = -12 -12v = -12 Divide each side by '-12'. v = 1 Simplifying v = 1
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