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Simplifying 5(v + -1) = 7v + 9 + -2(8v + -1) Reorder the terms: 5(-1 + v) = 7v + 9 + -2(8v + -1) (-1 * 5 + v * 5) = 7v + 9 + -2(8v + -1) (-5 + 5v) = 7v + 9 + -2(8v + -1) Reorder the terms: -5 + 5v = 7v + 9 + -2(-1 + 8v) -5 + 5v = 7v + 9 + (-1 * -2 + 8v * -2) -5 + 5v = 7v + 9 + (2 + -16v) Reorder the terms: -5 + 5v = 9 + 2 + 7v + -16v Combine like terms: 9 + 2 = 11 -5 + 5v = 11 + 7v + -16v Combine like terms: 7v + -16v = -9v -5 + 5v = 11 + -9v Solving -5 + 5v = 11 + -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. -5 + 5v + 9v = 11 + -9v + 9v Combine like terms: 5v + 9v = 14v -5 + 14v = 11 + -9v + 9v Combine like terms: -9v + 9v = 0 -5 + 14v = 11 + 0 -5 + 14v = 11 Add '5' to each side of the equation. -5 + 5 + 14v = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 14v = 11 + 5 14v = 11 + 5 Combine like terms: 11 + 5 = 16 14v = 16 Divide each side by '14'. v = 1.142857143 Simplifying v = 1.142857143
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