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Simplifying 5(v + -2) = v + 2 + -2(-9v + -2) Reorder the terms: 5(-2 + v) = v + 2 + -2(-9v + -2) (-2 * 5 + v * 5) = v + 2 + -2(-9v + -2) (-10 + 5v) = v + 2 + -2(-9v + -2) Reorder the terms: -10 + 5v = v + 2 + -2(-2 + -9v) -10 + 5v = v + 2 + (-2 * -2 + -9v * -2) -10 + 5v = v + 2 + (4 + 18v) Reorder the terms: -10 + 5v = 2 + 4 + v + 18v Combine like terms: 2 + 4 = 6 -10 + 5v = 6 + v + 18v Combine like terms: v + 18v = 19v -10 + 5v = 6 + 19v Solving -10 + 5v = 6 + 19v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-19v' to each side of the equation. -10 + 5v + -19v = 6 + 19v + -19v Combine like terms: 5v + -19v = -14v -10 + -14v = 6 + 19v + -19v Combine like terms: 19v + -19v = 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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