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Simplifying -34 = 2(3v + 8) Reorder the terms: -34 = 2(8 + 3v) -34 = (8 * 2 + 3v * 2) -34 = (16 + 6v) Solving -34 = 16 + 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 + -6v = 16 + 6v + -6v Combine like terms: 6v + -6v = 0 -34 + -6v = 16 + 0 -34 + -6v = 16 Add '34' to each side of the equation. -34 + 34 + -6v = 16 + 34 Combine like terms: -34 + 34 = 0 0 + -6v = 16 + 34 -6v = 16 + 34 Combine like terms: 16 + 34 = 50 -6v = 50 Divide each side by '-6'. v = -8.333333333 Simplifying v = -8.333333333
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