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Simplifying -3v + v = 8(9 + -1v) + -3(6 + -4v) Combine like terms: -3v + v = -2v -2v = 8(9 + -1v) + -3(6 + -4v) -2v = (9 * 8 + -1v * 8) + -3(6 + -4v) -2v = (72 + -8v) + -3(6 + -4v) -2v = 72 + -8v + (6 * -3 + -4v * -3) -2v = 72 + -8v + (-18 + 12v) Reorder the terms: -2v = 72 + -18 + -8v + 12v Combine like terms: 72 + -18 = 54 -2v = 54 + -8v + 12v Combine like terms: -8v + 12v = 4v -2v = 54 + 4v Solving -2v = 54 + 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. -2v + -4v = 54 + 4v + -4v Combine like terms: -2v + -4v = -6v -6v = 54 + 4v + -4v Combine like terms: 4v + -4v = 0 -6v = 54 + 0 -6v = 54 Divide each side by '-6'. v = -9 Simplifying v = -9
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