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Simplifying -34 = -5v + 3(v + -8) Reorder the terms: -34 = -5v + 3(-8 + v) -34 = -5v + (-8 * 3 + v * 3) -34 = -5v + (-24 + 3v) Reorder the terms: -34 = -24 + -5v + 3v Combine like terms: -5v + 3v = -2v -34 = -24 + -2v Solving -34 = -24 + -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 + 2v = -24 + -2v + 2v Combine like terms: -2v + 2v = 0 -34 + 2v = -24 + 0 -34 + 2v = -24 Add '34' to each side of the equation. -34 + 34 + 2v = -24 + 34 Combine like terms: -34 + 34 = 0 0 + 2v = -24 + 34 2v = -24 + 34 Combine like terms: -24 + 34 = 10 2v = 10 Divide each side by '2'. v = 5 Simplifying v = 5
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