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Simplifying -5(v + 3) + 2v + 5 = 8v + 11 Reorder the terms: -5(3 + v) + 2v + 5 = 8v + 11 (3 * -5 + v * -5) + 2v + 5 = 8v + 11 (-15 + -5v) + 2v + 5 = 8v + 11 Reorder the terms: -15 + 5 + -5v + 2v = 8v + 11 Combine like terms: -15 + 5 = -10 -10 + -5v + 2v = 8v + 11 Combine like terms: -5v + 2v = -3v -10 + -3v = 8v + 11 Reorder the terms: -10 + -3v = 11 + 8v Solving -10 + -3v = 11 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -10 + -3v + -8v = 11 + 8v + -8v Combine like terms: -3v + -8v = -11v -10 + -11v = 11 + 8v + -8v Combine like terms: 8v + -8v = 0 -10 + -11v = 11 + 0 -10 + -11v = 11 Add '10' to each side of the equation. -10 + 10 + -11v = 11 + 10 Combine like terms: -10 + 10 = 0 0 + -11v = 11 + 10 -11v = 11 + 10 Combine like terms: 11 + 10 = 21 -11v = 21 Divide each side by '-11'. v = -1.909090909 Simplifying v = -1.909090909
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