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Simplifying -2(v + 3) = 9v + 16 Reorder the terms: -2(3 + v) = 9v + 16 (3 * -2 + v * -2) = 9v + 16 (-6 + -2v) = 9v + 16 Reorder the terms: -6 + -2v = 16 + 9v Solving -6 + -2v = 16 + 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. -6 + -2v + -9v = 16 + 9v + -9v Combine like terms: -2v + -9v = -11v -6 + -11v = 16 + 9v + -9v Combine like terms: 9v + -9v = 0 -6 + -11v = 16 + 0 -6 + -11v = 16 Add '6' to each side of the equation. -6 + 6 + -11v = 16 + 6 Combine like terms: -6 + 6 = 0 0 + -11v = 16 + 6 -11v = 16 + 6 Combine like terms: 16 + 6 = 22 -11v = 22 Divide each side by '-11'. v = -2 Simplifying v = -2
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