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Simplifying -7(-1v + -11) + -1v = -11(9v + -7) Reorder the terms: -7(-11 + -1v) + -1v = -11(9v + -7) (-11 * -7 + -1v * -7) + -1v = -11(9v + -7) (77 + 7v) + -1v = -11(9v + -7) Combine like terms: 7v + -1v = 6v 77 + 6v = -11(9v + -7) Reorder the terms: 77 + 6v = -11(-7 + 9v) 77 + 6v = (-7 * -11 + 9v * -11) 77 + 6v = (77 + -99v) Add '-77' to each side of the equation. 77 + -77 + 6v = 77 + -77 + -99v Combine like terms: 77 + -77 = 0 0 + 6v = 77 + -77 + -99v 6v = 77 + -77 + -99v Combine like terms: 77 + -77 = 0 6v = 0 + -99v 6v = -99v Solving 6v = -99v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '99v' to each side of the equation. 6v + 99v = -99v + 99v Combine like terms: 6v + 99v = 105v 105v = -99v + 99v Combine like terms: -99v + 99v = 0 105v = 0 Divide each side by '105'. v = 0 Simplifying v = 0
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