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Simplifying -9(v + 2) + 2v + 5 = 6v + 11 Reorder the terms: -9(2 + v) + 2v + 5 = 6v + 11 (2 * -9 + v * -9) + 2v + 5 = 6v + 11 (-18 + -9v) + 2v + 5 = 6v + 11 Reorder the terms: -18 + 5 + -9v + 2v = 6v + 11 Combine like terms: -18 + 5 = -13 -13 + -9v + 2v = 6v + 11 Combine like terms: -9v + 2v = -7v -13 + -7v = 6v + 11 Reorder the terms: -13 + -7v = 11 + 6v Solving -13 + -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. -13 + -7v + -6v = 11 + 6v + -6v Combine like terms: -7v + -6v = -13v -13 + -13v = 11 + 6v + -6v Combine like terms: 6v + -6v = 0 -13 + -13v = 11 + 0 -13 + -13v = 11 Add '13' to each side of the equation. -13 + 13 + -13v = 11 + 13 Combine like terms: -13 + 13 = 0 0 + -13v = 11 + 13 -13v = 11 + 13 Combine like terms: 11 + 13 = 24 -13v = 24 Divide each side by '-13'. v = -1.846153846 Simplifying v = -1.846153846
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