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Simplifying -9(v + 4) = 2v + 30 Reorder the terms: -9(4 + v) = 2v + 30 (4 * -9 + v * -9) = 2v + 30 (-36 + -9v) = 2v + 30 Reorder the terms: -36 + -9v = 30 + 2v Solving -36 + -9v = 30 + 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. -36 + -9v + -2v = 30 + 2v + -2v Combine like terms: -9v + -2v = -11v -36 + -11v = 30 + 2v + -2v Combine like terms: 2v + -2v = 0 -36 + -11v = 30 + 0 -36 + -11v = 30 Add '36' to each side of the equation. -36 + 36 + -11v = 30 + 36 Combine like terms: -36 + 36 = 0 0 + -11v = 30 + 36 -11v = 30 + 36 Combine like terms: 30 + 36 = 66 -11v = 66 Divide each side by '-11'. v = -6 Simplifying v = -6
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