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Simplifying 6(v + -9) = 2v + -34 Reorder the terms: 6(-9 + v) = 2v + -34 (-9 * 6 + v * 6) = 2v + -34 (-54 + 6v) = 2v + -34 Reorder the terms: -54 + 6v = -34 + 2v Solving -54 + 6v = -34 + 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. -54 + 6v + -2v = -34 + 2v + -2v Combine like terms: 6v + -2v = 4v -54 + 4v = -34 + 2v + -2v Combine like terms: 2v + -2v = 0 -54 + 4v = -34 + 0 -54 + 4v = -34 Add '54' to each side of the equation. -54 + 54 + 4v = -34 + 54 Combine like terms: -54 + 54 = 0 0 + 4v = -34 + 54 4v = -34 + 54 Combine like terms: -34 + 54 = 20 4v = 20 Divide each side by '4'. v = 5 Simplifying v = 5
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