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Simplifying 5(v + -1) = v + 3 + -2(-9v + -2) Reorder the terms: 5(-1 + v) = v + 3 + -2(-9v + -2) (-1 * 5 + v * 5) = v + 3 + -2(-9v + -2) (-5 + 5v) = v + 3 + -2(-9v + -2) Reorder the terms: -5 + 5v = v + 3 + -2(-2 + -9v) -5 + 5v = v + 3 + (-2 * -2 + -9v * -2) -5 + 5v = v + 3 + (4 + 18v) Reorder the terms: -5 + 5v = 3 + 4 + v + 18v Combine like terms: 3 + 4 = 7 -5 + 5v = 7 + v + 18v Combine like terms: v + 18v = 19v -5 + 5v = 7 + 19v Solving -5 + 5v = 7 + 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. -5 + 5v + -19v = 7 + 19v + -19v Combine like terms: 5v + -19v = -14v -5 + -14v = 7 + 19v + -19v Combine like terms: 19v + -19v = 0 -5 + -14v = 7 + 0 -5 + -14v = 7 Add '5' to each side of the equation. -5 + 5 + -14v = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -14v = 7 + 5 -14v = 7 + 5 Combine like terms: 7 + 5 = 12 -14v = 12 Divide each side by '-14'. v = -0.8571428571 Simplifying v = -0.8571428571
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