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Simplifying -1 + 7v = -2(v + -8) + -8 Reorder the terms: -1 + 7v = -2(-8 + v) + -8 -1 + 7v = (-8 * -2 + v * -2) + -8 -1 + 7v = (16 + -2v) + -8 Reorder the terms: -1 + 7v = 16 + -8 + -2v Combine like terms: 16 + -8 = 8 -1 + 7v = 8 + -2v Solving -1 + 7v = 8 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -1 + 7v + 2v = 8 + -2v + 2v Combine like terms: 7v + 2v = 9v -1 + 9v = 8 + -2v + 2v Combine like terms: -2v + 2v = 0 -1 + 9v = 8 + 0 -1 + 9v = 8 Add '1' to each side of the equation. -1 + 1 + 9v = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 9v = 8 + 1 9v = 8 + 1 Combine like terms: 8 + 1 = 9 9v = 9 Divide each side by '9'. v = 1 Simplifying v = 1
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