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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 = 4v 20 = 32 + 4v Solving 20 = 32 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 20 + -4v = 32 + 4v + -4v Combine like terms: 4v + -4v = 0 20 + -4v = 32 + 0 20 + -4v = 32 Add '-20' to each side of the equation. 20 + -20 + -4v = 32 + -20 Combine like terms: 20 + -20 = 0 0 + -4v = 32 + -20 -4v = 32 + -20 Combine like terms: 32 + -20 = 12 -4v = 12 Divide each side by '-4'. v = -3 Simplifying v = -3
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