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Simplifying -9v + 34 = 2(v + -5) Reorder the terms: 34 + -9v = 2(v + -5) Reorder the terms: 34 + -9v = 2(-5 + v) 34 + -9v = (-5 * 2 + v * 2) 34 + -9v = (-10 + 2v) Solving 34 + -9v = -10 + 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. 34 + -9v + -2v = -10 + 2v + -2v Combine like terms: -9v + -2v = -11v 34 + -11v = -10 + 2v + -2v Combine like terms: 2v + -2v = 0 34 + -11v = -10 + 0 34 + -11v = -10 Add '-34' to each side of the equation. 34 + -34 + -11v = -10 + -34 Combine like terms: 34 + -34 = 0 0 + -11v = -10 + -34 -11v = -10 + -34 Combine like terms: -10 + -34 = -44 -11v = -44 Divide each side by '-11'. v = 4 Simplifying v = 4
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