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