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Simplifying -3(3v + -8) = -28 + 9v Reorder the terms: -3(-8 + 3v) = -28 + 9v (-8 * -3 + 3v * -3) = -28 + 9v (24 + -9v) = -28 + 9v Solving 24 + -9v = -28 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 24 + -9v + -9v = -28 + 9v + -9v Combine like terms: -9v + -9v = -18v 24 + -18v = -28 + 9v + -9v Combine like terms: 9v + -9v = 0 24 + -18v = -28 + 0 24 + -18v = -28 Add '-24' to each side of the equation. 24 + -24 + -18v = -28 + -24 Combine like terms: 24 + -24 = 0 0 + -18v = -28 + -24 -18v = -28 + -24 Combine like terms: -28 + -24 = -52 -18v = -52 Divide each side by '-18'. v = 2.888888889 Simplifying v = 2.888888889
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