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Simplifying -3(v + 3) = -5(4v + -1) + 9v Reorder the terms: -3(3 + v) = -5(4v + -1) + 9v (3 * -3 + v * -3) = -5(4v + -1) + 9v (-9 + -3v) = -5(4v + -1) + 9v Reorder the terms: -9 + -3v = -5(-1 + 4v) + 9v -9 + -3v = (-1 * -5 + 4v * -5) + 9v -9 + -3v = (5 + -20v) + 9v Combine like terms: -20v + 9v = -11v -9 + -3v = 5 + -11v Solving -9 + -3v = 5 + -11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '11v' to each side of the equation. -9 + -3v + 11v = 5 + -11v + 11v Combine like terms: -3v + 11v = 8v -9 + 8v = 5 + -11v + 11v Combine like terms: -11v + 11v = 0 -9 + 8v = 5 + 0 -9 + 8v = 5 Add '9' to each side of the equation. -9 + 9 + 8v = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 8v = 5 + 9 8v = 5 + 9 Combine like terms: 5 + 9 = 14 8v = 14 Divide each side by '8'. v = 1.75 Simplifying v = 1.75
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