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Simplifying 5(v + -9) + -7 = -6(-2v + 7) + -3v Reorder the terms: 5(-9 + v) + -7 = -6(-2v + 7) + -3v (-9 * 5 + v * 5) + -7 = -6(-2v + 7) + -3v (-45 + 5v) + -7 = -6(-2v + 7) + -3v Reorder the terms: -45 + -7 + 5v = -6(-2v + 7) + -3v Combine like terms: -45 + -7 = -52 -52 + 5v = -6(-2v + 7) + -3v Reorder the terms: -52 + 5v = -6(7 + -2v) + -3v -52 + 5v = (7 * -6 + -2v * -6) + -3v -52 + 5v = (-42 + 12v) + -3v Combine like terms: 12v + -3v = 9v -52 + 5v = -42 + 9v Solving -52 + 5v = -42 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -52 + 5v + -9v = -42 + 9v + -9v Combine like terms: 5v + -9v = -4v -52 + -4v = -42 + 9v + -9v Combine like terms: 9v + -9v = 0 -52 + -4v = -42 + 0 -52 + -4v = -42 Add '52' to each side of the equation. -52 + 52 + -4v = -42 + 52 Combine like terms: -52 + 52 = 0 0 + -4v = -42 + 52 -4v = -42 + 52 Combine like terms: -42 + 52 = 10 -4v = 10 Divide each side by '-4'. v = -2.5 Simplifying v = -2.5
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