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Simplifying 6v + -33 = -9(v + -3) Reorder the terms: -33 + 6v = -9(v + -3) Reorder the terms: -33 + 6v = -9(-3 + v) -33 + 6v = (-3 * -9 + v * -9) -33 + 6v = (27 + -9v) Solving -33 + 6v = 27 + -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. -33 + 6v + 9v = 27 + -9v + 9v Combine like terms: 6v + 9v = 15v -33 + 15v = 27 + -9v + 9v Combine like terms: -9v + 9v = 0 -33 + 15v = 27 + 0 -33 + 15v = 27 Add '33' to each side of the equation. -33 + 33 + 15v = 27 + 33 Combine like terms: -33 + 33 = 0 0 + 15v = 27 + 33 15v = 27 + 33 Combine like terms: 27 + 33 = 60 15v = 60 Divide each side by '15'. v = 4 Simplifying v = 4
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