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Simplifying 2v + -8(-2v + 7) = 19 + 3v Reorder the terms: 2v + -8(7 + -2v) = 19 + 3v 2v + (7 * -8 + -2v * -8) = 19 + 3v 2v + (-56 + 16v) = 19 + 3v Reorder the terms: -56 + 2v + 16v = 19 + 3v Combine like terms: 2v + 16v = 18v -56 + 18v = 19 + 3v Solving -56 + 18v = 19 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -56 + 18v + -3v = 19 + 3v + -3v Combine like terms: 18v + -3v = 15v -56 + 15v = 19 + 3v + -3v Combine like terms: 3v + -3v = 0 -56 + 15v = 19 + 0 -56 + 15v = 19 Add '56' to each side of the equation. -56 + 56 + 15v = 19 + 56 Combine like terms: -56 + 56 = 0 0 + 15v = 19 + 56 15v = 19 + 56 Combine like terms: 19 + 56 = 75 15v = 75 Divide each side by '15'. v = 5 Simplifying v = 5
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