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Simplifying -9(v + 2) + 2v + 5 = 5v + 6 Reorder the terms: -9(2 + v) + 2v + 5 = 5v + 6 (2 * -9 + v * -9) + 2v + 5 = 5v + 6 (-18 + -9v) + 2v + 5 = 5v + 6 Reorder the terms: -18 + 5 + -9v + 2v = 5v + 6 Combine like terms: -18 + 5 = -13 -13 + -9v + 2v = 5v + 6 Combine like terms: -9v + 2v = -7v -13 + -7v = 5v + 6 Reorder the terms: -13 + -7v = 6 + 5v Solving -13 + -7v = 6 + 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. -13 + -7v + -5v = 6 + 5v + -5v Combine like terms: -7v + -5v = -12v -13 + -12v = 6 + 5v + -5v Combine like terms: 5v + -5v = 0 -13 + -12v = 6 + 0 -13 + -12v = 6 Add '13' to each side of the equation. -13 + 13 + -12v = 6 + 13 Combine like terms: -13 + 13 = 0 0 + -12v = 6 + 13 -12v = 6 + 13 Combine like terms: 6 + 13 = 19 -12v = 19 Divide each side by '-12'. v = -1.583333333 Simplifying v = -1.583333333
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