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Simplifying 9(3 + v) + 33v = 12v (3 * 9 + v * 9) + 33v = 12v (27 + 9v) + 33v = 12v Combine like terms: 9v + 33v = 42v 27 + 42v = 12v Solving 27 + 42v = 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 27 + 42v + -12v = 12v + -12v Combine like terms: 42v + -12v = 30v 27 + 30v = 12v + -12v Combine like terms: 12v + -12v = 0 27 + 30v = 0 Add '-27' to each side of the equation. 27 + -27 + 30v = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 30v = 0 + -27 30v = 0 + -27 Combine like terms: 0 + -27 = -27 30v = -27 Divide each side by '30'. v = -0.9 Simplifying v = -0.9
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