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Simplifying 9(4 + v) + 33v = 14v (4 * 9 + v * 9) + 33v = 14v (36 + 9v) + 33v = 14v Combine like terms: 9v + 33v = 42v 36 + 42v = 14v Solving 36 + 42v = 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. 36 + 42v + -14v = 14v + -14v Combine like terms: 42v + -14v = 28v 36 + 28v = 14v + -14v Combine like terms: 14v + -14v = 0 36 + 28v = 0 Add '-36' to each side of the equation. 36 + -36 + 28v = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 28v = 0 + -36 28v = 0 + -36 Combine like terms: 0 + -36 = -36 28v = -36 Divide each side by '28'. v = -1.285714286 Simplifying v = -1.285714286
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