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Simplifying 4(v + -5) + -4 = -4(-5v + 7) + -2v Reorder the terms: 4(-5 + v) + -4 = -4(-5v + 7) + -2v (-5 * 4 + v * 4) + -4 = -4(-5v + 7) + -2v (-20 + 4v) + -4 = -4(-5v + 7) + -2v Reorder the terms: -20 + -4 + 4v = -4(-5v + 7) + -2v Combine like terms: -20 + -4 = -24 -24 + 4v = -4(-5v + 7) + -2v Reorder the terms: -24 + 4v = -4(7 + -5v) + -2v -24 + 4v = (7 * -4 + -5v * -4) + -2v -24 + 4v = (-28 + 20v) + -2v Combine like terms: 20v + -2v = 18v -24 + 4v = -28 + 18v Solving -24 + 4v = -28 + 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. -24 + 4v + -18v = -28 + 18v + -18v Combine like terms: 4v + -18v = -14v -24 + -14v = -28 + 18v + -18v Combine like terms: 18v + -18v = 0 -24 + -14v = -28 + 0 -24 + -14v = -28 Add '24' to each side of the equation. -24 + 24 + -14v = -28 + 24 Combine like terms: -24 + 24 = 0 0 + -14v = -28 + 24 -14v = -28 + 24 Combine like terms: -28 + 24 = -4 -14v = -4 Divide each side by '-14'. v = 0.2857142857 Simplifying v = 0.2857142857
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