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Simplifying -34 = 4v + 7(v + -8) Reorder the terms: -34 = 4v + 7(-8 + v) -34 = 4v + (-8 * 7 + v * 7) -34 = 4v + (-56 + 7v) Reorder the terms: -34 = -56 + 4v + 7v Combine like terms: 4v + 7v = 11v -34 = -56 + 11v Solving -34 = -56 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -34 + -11v = -56 + 11v + -11v Combine like terms: 11v + -11v = 0 -34 + -11v = -56 + 0 -34 + -11v = -56 Add '34' to each side of the equation. -34 + 34 + -11v = -56 + 34 Combine like terms: -34 + 34 = 0 0 + -11v = -56 + 34 -11v = -56 + 34 Combine like terms: -56 + 34 = -22 -11v = -22 Divide each side by '-11'. v = 2 Simplifying v = 2
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