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Simplifying -8(v + 3) + 4v + 5 = 5v + 11 Reorder the terms: -8(3 + v) + 4v + 5 = 5v + 11 (3 * -8 + v * -8) + 4v + 5 = 5v + 11 (-24 + -8v) + 4v + 5 = 5v + 11 Reorder the terms: -24 + 5 + -8v + 4v = 5v + 11 Combine like terms: -24 + 5 = -19 -19 + -8v + 4v = 5v + 11 Combine like terms: -8v + 4v = -4v -19 + -4v = 5v + 11 Reorder the terms: -19 + -4v = 11 + 5v Solving -19 + -4v = 11 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -19 + -4v + -5v = 11 + 5v + -5v Combine like terms: -4v + -5v = -9v -19 + -9v = 11 + 5v + -5v Combine like terms: 5v + -5v = 0 -19 + -9v = 11 + 0 -19 + -9v = 11 Add '19' to each side of the equation. -19 + 19 + -9v = 11 + 19 Combine like terms: -19 + 19 = 0 0 + -9v = 11 + 19 -9v = 11 + 19 Combine like terms: 11 + 19 = 30 -9v = 30 Divide each side by '-9'. v = -3.333333333 Simplifying v = -3.333333333
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