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Simplifying 11(x + 4) + -2v = 3(3v + 4) + -13 Reorder the terms: 11(4 + x) + -2v = 3(3v + 4) + -13 (4 * 11 + x * 11) + -2v = 3(3v + 4) + -13 (44 + 11x) + -2v = 3(3v + 4) + -13 Reorder the terms: 44 + -2v + 11x = 3(3v + 4) + -13 Reorder the terms: 44 + -2v + 11x = 3(4 + 3v) + -13 44 + -2v + 11x = (4 * 3 + 3v * 3) + -13 44 + -2v + 11x = (12 + 9v) + -13 Reorder the terms: 44 + -2v + 11x = 12 + -13 + 9v Combine like terms: 12 + -13 = -1 44 + -2v + 11x = -1 + 9v Solving 44 + -2v + 11x = -1 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 44 + -2v + -9v + 11x = -1 + 9v + -9v Combine like terms: -2v + -9v = -11v 44 + -11v + 11x = -1 + 9v + -9v Combine like terms: 9v + -9v = 0 44 + -11v + 11x = -1 + 0 44 + -11v + 11x = -1 Add '-44' to each side of the equation. 44 + -11v + -44 + 11x = -1 + -44 Reorder the terms: 44 + -44 + -11v + 11x = -1 + -44 Combine like terms: 44 + -44 = 0 0 + -11v + 11x = -1 + -44 -11v + 11x = -1 + -44 Combine like terms: -1 + -44 = -45 -11v + 11x = -45 Add '-11x' to each side of the equation. -11v + 11x + -11x = -45 + -11x Combine like terms: 11x + -11x = 0 -11v + 0 = -45 + -11x -11v = -45 + -11x Divide each side by '-11'. v = 4.090909091 + x Simplifying v = 4.090909091 + x
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