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Simplifying -2v + -34 = 6(v + 5) Reorder the terms: -34 + -2v = 6(v + 5) Reorder the terms: -34 + -2v = 6(5 + v) -34 + -2v = (5 * 6 + v * 6) -34 + -2v = (30 + 6v) Solving -34 + -2v = 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 + -2v + -6v = 30 + 6v + -6v Combine like terms: -2v + -6v = -8v -34 + -8v = 30 + 6v + -6v Combine like terms: 6v + -6v = 0 -34 + -8v = 30 + 0 -34 + -8v = 30 Add '34' to each side of the equation. -34 + 34 + -8v = 30 + 34 Combine like terms: -34 + 34 = 0 0 + -8v = 30 + 34 -8v = 30 + 34 Combine like terms: 30 + 34 = 64 -8v = 64 Divide each side by '-8'. v = -8 Simplifying v = -8
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