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Simplifying 4(5 + 8v) = 20 + -5v (5 * 4 + 8v * 4) = 20 + -5v (20 + 32v) = 20 + -5v Add '-20' to each side of the equation. 20 + -20 + 32v = 20 + -20 + -5v Combine like terms: 20 + -20 = 0 0 + 32v = 20 + -20 + -5v 32v = 20 + -20 + -5v Combine like terms: 20 + -20 = 0 32v = 0 + -5v 32v = -5v Solving 32v = -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. 32v + 5v = -5v + 5v Combine like terms: 32v + 5v = 37v 37v = -5v + 5v Combine like terms: -5v + 5v = 0 37v = 0 Divide each side by '37'. v = 0 Simplifying v = 0
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