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Simplifying -4(3v + -5) + 8v = 4(v + 6) Reorder the terms: -4(-5 + 3v) + 8v = 4(v + 6) (-5 * -4 + 3v * -4) + 8v = 4(v + 6) (20 + -12v) + 8v = 4(v + 6) Combine like terms: -12v + 8v = -4v 20 + -4v = 4(v + 6) Reorder the terms: 20 + -4v = 4(6 + v) 20 + -4v = (6 * 4 + v * 4) 20 + -4v = (24 + 4v) Solving 20 + -4v = 24 + 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 + -4v = 24 + 4v + -4v Combine like terms: -4v + -4v = -8v 20 + -8v = 24 + 4v + -4v Combine like terms: 4v + -4v = 0 20 + -8v = 24 + 0 20 + -8v = 24 Add '-20' to each side of the equation. 20 + -20 + -8v = 24 + -20 Combine like terms: 20 + -20 = 0 0 + -8v = 24 + -20 -8v = 24 + -20 Combine like terms: 24 + -20 = 4 -8v = 4 Divide each side by '-8'. v = -0.5 Simplifying v = -0.5
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