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Simplifying 8(2 + v) + 33v = 11v (2 * 8 + v * 8) + 33v = 11v (16 + 8v) + 33v = 11v Combine like terms: 8v + 33v = 41v 16 + 41v = 11v Solving 16 + 41v = 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. 16 + 41v + -11v = 11v + -11v Combine like terms: 41v + -11v = 30v 16 + 30v = 11v + -11v Combine like terms: 11v + -11v = 0 16 + 30v = 0 Add '-16' to each side of the equation. 16 + -16 + 30v = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 30v = 0 + -16 30v = 0 + -16 Combine like terms: 0 + -16 = -16 30v = -16 Divide each side by '30'. v = -0.5333333333 Simplifying v = -0.5333333333
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