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Simplifying 3(v + 3) = -8v + -2 Reorder the terms: 3(3 + v) = -8v + -2 (3 * 3 + v * 3) = -8v + -2 (9 + 3v) = -8v + -2 Reorder the terms: 9 + 3v = -2 + -8v Solving 9 + 3v = -2 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 9 + 3v + 8v = -2 + -8v + 8v Combine like terms: 3v + 8v = 11v 9 + 11v = -2 + -8v + 8v Combine like terms: -8v + 8v = 0 9 + 11v = -2 + 0 9 + 11v = -2 Add '-9' to each side of the equation. 9 + -9 + 11v = -2 + -9 Combine like terms: 9 + -9 = 0 0 + 11v = -2 + -9 11v = -2 + -9 Combine like terms: -2 + -9 = -11 11v = -11 Divide each side by '11'. v = -1 Simplifying v = -1
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