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Simplifying 3(v + -3) = 9v + 5 + -2(-4v + -1) Reorder the terms: 3(-3 + v) = 9v + 5 + -2(-4v + -1) (-3 * 3 + v * 3) = 9v + 5 + -2(-4v + -1) (-9 + 3v) = 9v + 5 + -2(-4v + -1) Reorder the terms: -9 + 3v = 9v + 5 + -2(-1 + -4v) -9 + 3v = 9v + 5 + (-1 * -2 + -4v * -2) -9 + 3v = 9v + 5 + (2 + 8v) Reorder the terms: -9 + 3v = 5 + 2 + 9v + 8v Combine like terms: 5 + 2 = 7 -9 + 3v = 7 + 9v + 8v Combine like terms: 9v + 8v = 17v -9 + 3v = 7 + 17v Solving -9 + 3v = 7 + 17v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-17v' to each side of the equation. -9 + 3v + -17v = 7 + 17v + -17v Combine like terms: 3v + -17v = -14v -9 + -14v = 7 + 17v + -17v Combine like terms: 17v + -17v = 0 -9 + -14v = 7 + 0 -9 + -14v = 7 Add '9' to each side of the equation. -9 + 9 + -14v = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -14v = 7 + 9 -14v = 7 + 9 Combine like terms: 7 + 9 = 16 -14v = 16 Divide each side by '-14'. v = -1.142857143 Simplifying v = -1.142857143
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