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Simplifying -8v + -35 = 7 + -1(2v + 6) Reorder the terms: -35 + -8v = 7 + -1(2v + 6) Reorder the terms: -35 + -8v = 7 + -1(6 + 2v) -35 + -8v = 7 + (6 * -1 + 2v * -1) -35 + -8v = 7 + (-6 + -2v) Combine like terms: 7 + -6 = 1 -35 + -8v = 1 + -2v Solving -35 + -8v = 1 + -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. -35 + -8v + 2v = 1 + -2v + 2v Combine like terms: -8v + 2v = -6v -35 + -6v = 1 + -2v + 2v Combine like terms: -2v + 2v = 0 -35 + -6v = 1 + 0 -35 + -6v = 1 Add '35' to each side of the equation. -35 + 35 + -6v = 1 + 35 Combine like terms: -35 + 35 = 0 0 + -6v = 1 + 35 -6v = 1 + 35 Combine like terms: 1 + 35 = 36 -6v = 36 Divide each side by '-6'. v = -6 Simplifying v = -6
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