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Simplifying -34 + 8v = 6(v + -5) Reorder the terms: -34 + 8v = 6(-5 + v) -34 + 8v = (-5 * 6 + v * 6) -34 + 8v = (-30 + 6v) Solving -34 + 8v = -30 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -34 + 8v + -6v = -30 + 6v + -6v Combine like terms: 8v + -6v = 2v -34 + 2v = -30 + 6v + -6v Combine like terms: 6v + -6v = 0 -34 + 2v = -30 + 0 -34 + 2v = -30 Add '34' to each side of the equation. -34 + 34 + 2v = -30 + 34 Combine like terms: -34 + 34 = 0 0 + 2v = -30 + 34 2v = -30 + 34 Combine like terms: -30 + 34 = 4 2v = 4 Divide each side by '2'. v = 2 Simplifying v = 2
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