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Simplifying -5(v + 4) + 2v + 6 = 8v + 8 Reorder the terms: -5(4 + v) + 2v + 6 = 8v + 8 (4 * -5 + v * -5) + 2v + 6 = 8v + 8 (-20 + -5v) + 2v + 6 = 8v + 8 Reorder the terms: -20 + 6 + -5v + 2v = 8v + 8 Combine like terms: -20 + 6 = -14 -14 + -5v + 2v = 8v + 8 Combine like terms: -5v + 2v = -3v -14 + -3v = 8v + 8 Reorder the terms: -14 + -3v = 8 + 8v Solving -14 + -3v = 8 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -14 + -3v + -8v = 8 + 8v + -8v Combine like terms: -3v + -8v = -11v -14 + -11v = 8 + 8v + -8v Combine like terms: 8v + -8v = 0 -14 + -11v = 8 + 0 -14 + -11v = 8 Add '14' to each side of the equation. -14 + 14 + -11v = 8 + 14 Combine like terms: -14 + 14 = 0 0 + -11v = 8 + 14 -11v = 8 + 14 Combine like terms: 8 + 14 = 22 -11v = 22 Divide each side by '-11'. v = -2 Simplifying v = -2
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