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Simplifying 4(2v + 1) = (5v + -8) Reorder the terms: 4(1 + 2v) = (5v + -8) (1 * 4 + 2v * 4) = (5v + -8) (4 + 8v) = (5v + -8) Reorder the terms: 4 + 8v = (-8 + 5v) Remove parenthesis around (-8 + 5v) 4 + 8v = -8 + 5v Solving 4 + 8v = -8 + 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. 4 + 8v + -5v = -8 + 5v + -5v Combine like terms: 8v + -5v = 3v 4 + 3v = -8 + 5v + -5v Combine like terms: 5v + -5v = 0 4 + 3v = -8 + 0 4 + 3v = -8 Add '-4' to each side of the equation. 4 + -4 + 3v = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 3v = -8 + -4 3v = -8 + -4 Combine like terms: -8 + -4 = -12 3v = -12 Divide each side by '3'. v = -4 Simplifying v = -4
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