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Simplifying 3v + 33 + -3 + -15v = -9v + 3v Reorder the terms: 33 + -3 + 3v + -15v = -9v + 3v Combine like terms: 33 + -3 = 30 30 + 3v + -15v = -9v + 3v Combine like terms: 3v + -15v = -12v 30 + -12v = -9v + 3v Combine like terms: -9v + 3v = -6v 30 + -12v = -6v Solving 30 + -12v = -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 30 + -12v + 6v = -6v + 6v Combine like terms: -12v + 6v = -6v 30 + -6v = -6v + 6v Combine like terms: -6v + 6v = 0 30 + -6v = 0 Add '-30' to each side of the equation. 30 + -30 + -6v = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -6v = 0 + -30 -6v = 0 + -30 Combine like terms: 0 + -30 = -30 -6v = -30 Divide each side by '-6'. v = 5 Simplifying v = 5
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