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Simplifying -3(5v + -4) + 3v = 2(v + 2) Reorder the terms: -3(-4 + 5v) + 3v = 2(v + 2) (-4 * -3 + 5v * -3) + 3v = 2(v + 2) (12 + -15v) + 3v = 2(v + 2) Combine like terms: -15v + 3v = -12v 12 + -12v = 2(v + 2) Reorder the terms: 12 + -12v = 2(2 + v) 12 + -12v = (2 * 2 + v * 2) 12 + -12v = (4 + 2v) Solving 12 + -12v = 4 + 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. 12 + -12v + -2v = 4 + 2v + -2v Combine like terms: -12v + -2v = -14v 12 + -14v = 4 + 2v + -2v Combine like terms: 2v + -2v = 0 12 + -14v = 4 + 0 12 + -14v = 4 Add '-12' to each side of the equation. 12 + -12 + -14v = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -14v = 4 + -12 -14v = 4 + -12 Combine like terms: 4 + -12 = -8 -14v = -8 Divide each side by '-14'. v = 0.5714285714 Simplifying v = 0.5714285714
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