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Simplifying 4(3v + -5) + 8v = 18v + 6 Reorder the terms: 4(-5 + 3v) + 8v = 18v + 6 (-5 * 4 + 3v * 4) + 8v = 18v + 6 (-20 + 12v) + 8v = 18v + 6 Combine like terms: 12v + 8v = 20v -20 + 20v = 18v + 6 Reorder the terms: -20 + 20v = 6 + 18v Solving -20 + 20v = 6 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. -20 + 20v + -18v = 6 + 18v + -18v Combine like terms: 20v + -18v = 2v -20 + 2v = 6 + 18v + -18v Combine like terms: 18v + -18v = 0 -20 + 2v = 6 + 0 -20 + 2v = 6 Add '20' to each side of the equation. -20 + 20 + 2v = 6 + 20 Combine like terms: -20 + 20 = 0 0 + 2v = 6 + 20 2v = 6 + 20 Combine like terms: 6 + 20 = 26 2v = 26 Divide each side by '2'. v = 13 Simplifying v = 13
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