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Simplifying 4(v + -9) = 2v + -24 Reorder the terms: 4(-9 + v) = 2v + -24 (-9 * 4 + v * 4) = 2v + -24 (-36 + 4v) = 2v + -24 Reorder the terms: -36 + 4v = -24 + 2v Solving -36 + 4v = -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. -36 + 4v + -2v = -24 + 2v + -2v Combine like terms: 4v + -2v = 2v -36 + 2v = -24 + 2v + -2v Combine like terms: 2v + -2v = 0 -36 + 2v = -24 + 0 -36 + 2v = -24 Add '36' to each side of the equation. -36 + 36 + 2v = -24 + 36 Combine like terms: -36 + 36 = 0 0 + 2v = -24 + 36 2v = -24 + 36 Combine like terms: -24 + 36 = 12 2v = 12 Divide each side by '2'. v = 6 Simplifying v = 6
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