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Simplifying 24 + -2v = -6(3v + 6) + v Reorder the terms: 24 + -2v = -6(6 + 3v) + v 24 + -2v = (6 * -6 + 3v * -6) + v 24 + -2v = (-36 + -18v) + v Combine like terms: -18v + v = -17v 24 + -2v = -36 + -17v Solving 24 + -2v = -36 + -17v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '17v' to each side of the equation. 24 + -2v + 17v = -36 + -17v + 17v Combine like terms: -2v + 17v = 15v 24 + 15v = -36 + -17v + 17v Combine like terms: -17v + 17v = 0 24 + 15v = -36 + 0 24 + 15v = -36 Add '-24' to each side of the equation. 24 + -24 + 15v = -36 + -24 Combine like terms: 24 + -24 = 0 0 + 15v = -36 + -24 15v = -36 + -24 Combine like terms: -36 + -24 = -60 15v = -60 Divide each side by '15'. v = -4 Simplifying v = -4
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