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Simplifying 7v + -9v = -6(8 + 6v) + 7(1 + -1v) Combine like terms: 7v + -9v = -2v -2v = -6(8 + 6v) + 7(1 + -1v) -2v = (8 * -6 + 6v * -6) + 7(1 + -1v) -2v = (-48 + -36v) + 7(1 + -1v) -2v = -48 + -36v + (1 * 7 + -1v * 7) -2v = -48 + -36v + (7 + -7v) Reorder the terms: -2v = -48 + 7 + -36v + -7v Combine like terms: -48 + 7 = -41 -2v = -41 + -36v + -7v Combine like terms: -36v + -7v = -43v -2v = -41 + -43v Solving -2v = -41 + -43v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '43v' to each side of the equation. -2v + 43v = -41 + -43v + 43v Combine like terms: -2v + 43v = 41v 41v = -41 + -43v + 43v Combine like terms: -43v + 43v = 0 41v = -41 + 0 41v = -41 Divide each side by '41'. v = -1 Simplifying v = -1
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