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