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Simplifying -2(v + 2) = 3v + -7 + 3(3v + 5) Reorder the terms: -2(2 + v) = 3v + -7 + 3(3v + 5) (2 * -2 + v * -2) = 3v + -7 + 3(3v + 5) (-4 + -2v) = 3v + -7 + 3(3v + 5) Reorder the terms: -4 + -2v = 3v + -7 + 3(5 + 3v) -4 + -2v = 3v + -7 + (5 * 3 + 3v * 3) -4 + -2v = 3v + -7 + (15 + 9v) Reorder the terms: -4 + -2v = -7 + 15 + 3v + 9v Combine like terms: -7 + 15 = 8 -4 + -2v = 8 + 3v + 9v Combine like terms: 3v + 9v = 12v -4 + -2v = 8 + 12v Solving -4 + -2v = 8 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -4 + -2v + -12v = 8 + 12v + -12v Combine like terms: -2v + -12v = -14v -4 + -14v = 8 + 12v + -12v Combine like terms: 12v + -12v = 0 -4 + -14v = 8 + 0 -4 + -14v = 8 Add '4' to each side of the equation. -4 + 4 + -14v = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -14v = 8 + 4 -14v = 8 + 4 Combine like terms: 8 + 4 = 12 -14v = 12 Divide each side by '-14'. v = -0.8571428571 Simplifying v = -0.8571428571
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