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Simplifying -4(v + -9) = 2v + 6 Reorder the terms: -4(-9 + v) = 2v + 6 (-9 * -4 + v * -4) = 2v + 6 (36 + -4v) = 2v + 6 Reorder the terms: 36 + -4v = 6 + 2v Solving 36 + -4v = 6 + 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. 36 + -4v + -2v = 6 + 2v + -2v Combine like terms: -4v + -2v = -6v 36 + -6v = 6 + 2v + -2v Combine like terms: 2v + -2v = 0 36 + -6v = 6 + 0 36 + -6v = 6 Add '-36' to each side of the equation. 36 + -36 + -6v = 6 + -36 Combine like terms: 36 + -36 = 0 0 + -6v = 6 + -36 -6v = 6 + -36 Combine like terms: 6 + -36 = -30 -6v = -30 Divide each side by '-6'. v = 5 Simplifying v = 5
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