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Simplifying 4(3v + -5) + -8v = 12 Reorder the terms: 4(-5 + 3v) + -8v = 12 (-5 * 4 + 3v * 4) + -8v = 12 (-20 + 12v) + -8v = 12 Combine like terms: 12v + -8v = 4v -20 + 4v = 12 Solving -20 + 4v = 12 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 = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 4v = 12 + 20 4v = 12 + 20 Combine like terms: 12 + 20 = 32 4v = 32 Divide each side by '4'. v = 8 Simplifying v = 8
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