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Simplifying 6 + 2(3v + -5) = -2(4v + -5) + 6v Reorder the terms: 6 + 2(-5 + 3v) = -2(4v + -5) + 6v 6 + (-5 * 2 + 3v * 2) = -2(4v + -5) + 6v 6 + (-10 + 6v) = -2(4v + -5) + 6v Combine like terms: 6 + -10 = -4 -4 + 6v = -2(4v + -5) + 6v Reorder the terms: -4 + 6v = -2(-5 + 4v) + 6v -4 + 6v = (-5 * -2 + 4v * -2) + 6v -4 + 6v = (10 + -8v) + 6v Combine like terms: -8v + 6v = -2v -4 + 6v = 10 + -2v Solving -4 + 6v = 10 + -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. -4 + 6v + 2v = 10 + -2v + 2v Combine like terms: 6v + 2v = 8v -4 + 8v = 10 + -2v + 2v Combine like terms: -2v + 2v = 0 -4 + 8v = 10 + 0 -4 + 8v = 10 Add '4' to each side of the equation. -4 + 4 + 8v = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 8v = 10 + 4 8v = 10 + 4 Combine like terms: 10 + 4 = 14 8v = 14 Divide each side by '8'. v = 1.75 Simplifying v = 1.75
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