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Simplifying 3v + -9v = -2(-7 + -1v) + -3(11 + 3v) Combine like terms: 3v + -9v = -6v -6v = -2(-7 + -1v) + -3(11 + 3v) -6v = (-7 * -2 + -1v * -2) + -3(11 + 3v) -6v = (14 + 2v) + -3(11 + 3v) -6v = 14 + 2v + (11 * -3 + 3v * -3) -6v = 14 + 2v + (-33 + -9v) Reorder the terms: -6v = 14 + -33 + 2v + -9v Combine like terms: 14 + -33 = -19 -6v = -19 + 2v + -9v Combine like terms: 2v + -9v = -7v -6v = -19 + -7v Solving -6v = -19 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -6v + 7v = -19 + -7v + 7v Combine like terms: -6v + 7v = 1v 1v = -19 + -7v + 7v Combine like terms: -7v + 7v = 0 1v = -19 + 0 1v = -19 Divide each side by '1'. v = -19 Simplifying v = -19
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