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Simplifying -9(v + 3) + 2v + 5 = 6v + 11 Reorder the terms: -9(3 + v) + 2v + 5 = 6v + 11 (3 * -9 + v * -9) + 2v + 5 = 6v + 11 (-27 + -9v) + 2v + 5 = 6v + 11 Reorder the terms: -27 + 5 + -9v + 2v = 6v + 11 Combine like terms: -27 + 5 = -22 -22 + -9v + 2v = 6v + 11 Combine like terms: -9v + 2v = -7v -22 + -7v = 6v + 11 Reorder the terms: -22 + -7v = 11 + 6v Solving -22 + -7v = 11 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -22 + -7v + -6v = 11 + 6v + -6v Combine like terms: -7v + -6v = -13v -22 + -13v = 11 + 6v + -6v Combine like terms: 6v + -6v = 0 -22 + -13v = 11 + 0 -22 + -13v = 11 Add '22' to each side of the equation. -22 + 22 + -13v = 11 + 22 Combine like terms: -22 + 22 = 0 0 + -13v = 11 + 22 -13v = 11 + 22 Combine like terms: 11 + 22 = 33 -13v = 33 Divide each side by '-13'. v = -2.538461538 Simplifying v = -2.538461538
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