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Simplifying -5(4v + -2) + 3(7v + -8) = 6v + -4v Reorder the terms: -5(-2 + 4v) + 3(7v + -8) = 6v + -4v (-2 * -5 + 4v * -5) + 3(7v + -8) = 6v + -4v (10 + -20v) + 3(7v + -8) = 6v + -4v Reorder the terms: 10 + -20v + 3(-8 + 7v) = 6v + -4v 10 + -20v + (-8 * 3 + 7v * 3) = 6v + -4v 10 + -20v + (-24 + 21v) = 6v + -4v Reorder the terms: 10 + -24 + -20v + 21v = 6v + -4v Combine like terms: 10 + -24 = -14 -14 + -20v + 21v = 6v + -4v Combine like terms: -20v + 21v = 1v -14 + 1v = 6v + -4v Combine like terms: 6v + -4v = 2v -14 + 1v = 2v Solving -14 + 1v = 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. -14 + 1v + -2v = 2v + -2v Combine like terms: 1v + -2v = -1v -14 + -1v = 2v + -2v Combine like terms: 2v + -2v = 0 -14 + -1v = 0 Add '14' to each side of the equation. -14 + 14 + -1v = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1v = 0 + 14 -1v = 0 + 14 Combine like terms: 0 + 14 = 14 -1v = 14 Divide each side by '-1'. v = -14 Simplifying v = -14
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