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Simplifying -5(v + 2) = 5v + -8 + 2(2v + 7) Reorder the terms: -5(2 + v) = 5v + -8 + 2(2v + 7) (2 * -5 + v * -5) = 5v + -8 + 2(2v + 7) (-10 + -5v) = 5v + -8 + 2(2v + 7) Reorder the terms: -10 + -5v = 5v + -8 + 2(7 + 2v) -10 + -5v = 5v + -8 + (7 * 2 + 2v * 2) -10 + -5v = 5v + -8 + (14 + 4v) Reorder the terms: -10 + -5v = -8 + 14 + 5v + 4v Combine like terms: -8 + 14 = 6 -10 + -5v = 6 + 5v + 4v Combine like terms: 5v + 4v = 9v -10 + -5v = 6 + 9v Solving -10 + -5v = 6 + 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. -10 + -5v + -9v = 6 + 9v + -9v Combine like terms: -5v + -9v = -14v -10 + -14v = 6 + 9v + -9v Combine like terms: 9v + -9v = 0 -10 + -14v = 6 + 0 -10 + -14v = 6 Add '10' to each side of the equation. -10 + 10 + -14v = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -14v = 6 + 10 -14v = 6 + 10 Combine like terms: 6 + 10 = 16 -14v = 16 Divide each side by '-14'. v = -1.142857143 Simplifying v = -1.142857143
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