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Simplifying 3(v + -3) + -2 = -5(-6 + 5) + -9v Reorder the terms: 3(-3 + v) + -2 = -5(-6 + 5) + -9v (-3 * 3 + v * 3) + -2 = -5(-6 + 5) + -9v (-9 + 3v) + -2 = -5(-6 + 5) + -9v Reorder the terms: -9 + -2 + 3v = -5(-6 + 5) + -9v Combine like terms: -9 + -2 = -11 -11 + 3v = -5(-6 + 5) + -9v Combine like terms: -6 + 5 = -1 -11 + 3v = -5(-1) + -9v Multiply -5 * -1 -11 + 3v = 5 + -9v Solving -11 + 3v = 5 + -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. -11 + 3v + 9v = 5 + -9v + 9v Combine like terms: 3v + 9v = 12v -11 + 12v = 5 + -9v + 9v Combine like terms: -9v + 9v = 0 -11 + 12v = 5 + 0 -11 + 12v = 5 Add '11' to each side of the equation. -11 + 11 + 12v = 5 + 11 Combine like terms: -11 + 11 = 0 0 + 12v = 5 + 11 12v = 5 + 11 Combine like terms: 5 + 11 = 16 12v = 16 Divide each side by '12'. v = 1.333333333 Simplifying v = 1.333333333
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