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Simplifying 4(v + 5) + -8v = 32 Reorder the terms: 4(5 + v) + -8v = 32 (5 * 4 + v * 4) + -8v = 32 (20 + 4v) + -8v = 32 Combine like terms: 4v + -8v = -4v 20 + -4v = 32 Solving 20 + -4v = 32 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. 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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