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