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Simplifying 14 + -1(2v + 3) = 2v + -11 Reorder the terms: 14 + -1(3 + 2v) = 2v + -11 14 + (3 * -1 + 2v * -1) = 2v + -11 14 + (-3 + -2v) = 2v + -11 Combine like terms: 14 + -3 = 11 11 + -2v = 2v + -11 Reorder the terms: 11 + -2v = -11 + 2v Solving 11 + -2v = -11 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 11 + -2v + -2v = -11 + 2v + -2v Combine like terms: -2v + -2v = -4v 11 + -4v = -11 + 2v + -2v Combine like terms: 2v + -2v = 0 11 + -4v = -11 + 0 11 + -4v = -11 Add '-11' to each side of the equation. 11 + -11 + -4v = -11 + -11 Combine like terms: 11 + -11 = 0 0 + -4v = -11 + -11 -4v = -11 + -11 Combine like terms: -11 + -11 = -22 -4v = -22 Divide each side by '-4'. v = 5.5 Simplifying v = 5.5
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