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Simplifying 7(v + -1) = 9v + -11 Reorder the terms: 7(-1 + v) = 9v + -11 (-1 * 7 + v * 7) = 9v + -11 (-7 + 7v) = 9v + -11 Reorder the terms: -7 + 7v = -11 + 9v Solving -7 + 7v = -11 + 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. -7 + 7v + -9v = -11 + 9v + -9v Combine like terms: 7v + -9v = -2v -7 + -2v = -11 + 9v + -9v Combine like terms: 9v + -9v = 0 -7 + -2v = -11 + 0 -7 + -2v = -11 Add '7' to each side of the equation. -7 + 7 + -2v = -11 + 7 Combine like terms: -7 + 7 = 0 0 + -2v = -11 + 7 -2v = -11 + 7 Combine like terms: -11 + 7 = -4 -2v = -4 Divide each side by '-2'. v = 2 Simplifying v = 2
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