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Simplifying -6(v + -9) = -4v + 34 Reorder the terms: -6(-9 + v) = -4v + 34 (-9 * -6 + v * -6) = -4v + 34 (54 + -6v) = -4v + 34 Reorder the terms: 54 + -6v = 34 + -4v Solving 54 + -6v = 34 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 54 + -6v + 4v = 34 + -4v + 4v Combine like terms: -6v + 4v = -2v 54 + -2v = 34 + -4v + 4v Combine like terms: -4v + 4v = 0 54 + -2v = 34 + 0 54 + -2v = 34 Add '-54' to each side of the equation. 54 + -54 + -2v = 34 + -54 Combine like terms: 54 + -54 = 0 0 + -2v = 34 + -54 -2v = 34 + -54 Combine like terms: 34 + -54 = -20 -2v = -20 Divide each side by '-2'. v = 10 Simplifying v = 10
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