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Simplifying 5(4v + -2) = -28 + 2v Reorder the terms: 5(-2 + 4v) = -28 + 2v (-2 * 5 + 4v * 5) = -28 + 2v (-10 + 20v) = -28 + 2v Solving -10 + 20v = -28 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -10 + 20v + -2v = -28 + 2v + -2v Combine like terms: 20v + -2v = 18v -10 + 18v = -28 + 2v + -2v Combine like terms: 2v + -2v = 0 -10 + 18v = -28 + 0 -10 + 18v = -28 Add '10' to each side of the equation. -10 + 10 + 18v = -28 + 10 Combine like terms: -10 + 10 = 0 0 + 18v = -28 + 10 18v = -28 + 10 Combine like terms: -28 + 10 = -18 18v = -18 Divide each side by '18'. v = -1 Simplifying v = -1
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