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Simplifying 3(v + -3) = -2(2v + -4) Reorder the terms: 3(-3 + v) = -2(2v + -4) (-3 * 3 + v * 3) = -2(2v + -4) (-9 + 3v) = -2(2v + -4) Reorder the terms: -9 + 3v = -2(-4 + 2v) -9 + 3v = (-4 * -2 + 2v * -2) -9 + 3v = (8 + -4v) Solving -9 + 3v = 8 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -9 + 3v + 4v = 8 + -4v + 4v Combine like terms: 3v + 4v = 7v -9 + 7v = 8 + -4v + 4v Combine like terms: -4v + 4v = 0 -9 + 7v = 8 + 0 -9 + 7v = 8 Add '9' to each side of the equation. -9 + 9 + 7v = 8 + 9 Combine like terms: -9 + 9 = 0 0 + 7v = 8 + 9 7v = 8 + 9 Combine like terms: 8 + 9 = 17 7v = 17 Divide each side by '7'. v = 2.428571429 Simplifying v = 2.428571429
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