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Simplifying 3v + 5v = -1(6 + 3v) + -2(6v + -4) Combine like terms: 3v + 5v = 8v 8v = -1(6 + 3v) + -2(6v + -4) 8v = (6 * -1 + 3v * -1) + -2(6v + -4) 8v = (-6 + -3v) + -2(6v + -4) Reorder the terms: 8v = -6 + -3v + -2(-4 + 6v) 8v = -6 + -3v + (-4 * -2 + 6v * -2) 8v = -6 + -3v + (8 + -12v) Reorder the terms: 8v = -6 + 8 + -3v + -12v Combine like terms: -6 + 8 = 2 8v = 2 + -3v + -12v Combine like terms: -3v + -12v = -15v 8v = 2 + -15v Solving 8v = 2 + -15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15v' to each side of the equation. 8v + 15v = 2 + -15v + 15v Combine like terms: 8v + 15v = 23v 23v = 2 + -15v + 15v Combine like terms: -15v + 15v = 0 23v = 2 + 0 23v = 2 Divide each side by '23'. v = 0.08695652174 Simplifying v = 0.08695652174
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