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Simplifying 3(v + 8) = -2v + -6 Reorder the terms: 3(8 + v) = -2v + -6 (8 * 3 + v * 3) = -2v + -6 (24 + 3v) = -2v + -6 Reorder the terms: 24 + 3v = -6 + -2v Solving 24 + 3v = -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. 24 + 3v + 2v = -6 + -2v + 2v Combine like terms: 3v + 2v = 5v 24 + 5v = -6 + -2v + 2v Combine like terms: -2v + 2v = 0 24 + 5v = -6 + 0 24 + 5v = -6 Add '-24' to each side of the equation. 24 + -24 + 5v = -6 + -24 Combine like terms: 24 + -24 = 0 0 + 5v = -6 + -24 5v = -6 + -24 Combine like terms: -6 + -24 = -30 5v = -30 Divide each side by '5'. v = -6 Simplifying v = -6
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