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Simplifying -35 + 9v = -1(7 + -5v) -35 + 9v = (7 * -1 + -5v * -1) -35 + 9v = (-7 + 5v) Solving -35 + 9v = -7 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -35 + 9v + -5v = -7 + 5v + -5v Combine like terms: 9v + -5v = 4v -35 + 4v = -7 + 5v + -5v Combine like terms: 5v + -5v = 0 -35 + 4v = -7 + 0 -35 + 4v = -7 Add '35' to each side of the equation. -35 + 35 + 4v = -7 + 35 Combine like terms: -35 + 35 = 0 0 + 4v = -7 + 35 4v = -7 + 35 Combine like terms: -7 + 35 = 28 4v = 28 Divide each side by '4'. v = 7 Simplifying v = 7
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