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Simplifying 3(v + -1) = 3v + 3 + -2(-7v + -5) Reorder the terms: 3(-1 + v) = 3v + 3 + -2(-7v + -5) (-1 * 3 + v * 3) = 3v + 3 + -2(-7v + -5) (-3 + 3v) = 3v + 3 + -2(-7v + -5) Reorder the terms: -3 + 3v = 3v + 3 + -2(-5 + -7v) -3 + 3v = 3v + 3 + (-5 * -2 + -7v * -2) -3 + 3v = 3v + 3 + (10 + 14v) Reorder the terms: -3 + 3v = 3 + 10 + 3v + 14v Combine like terms: 3 + 10 = 13 -3 + 3v = 13 + 3v + 14v Combine like terms: 3v + 14v = 17v -3 + 3v = 13 + 17v Solving -3 + 3v = 13 + 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. -3 + 3v + -17v = 13 + 17v + -17v Combine like terms: 3v + -17v = -14v -3 + -14v = 13 + 17v + -17v Combine like terms: 17v + -17v = 0 -3 + -14v = 13 + 0 -3 + -14v = 13 Add '3' to each side of the equation. -3 + 3 + -14v = 13 + 3 Combine like terms: -3 + 3 = 0 0 + -14v = 13 + 3 -14v = 13 + 3 Combine like terms: 13 + 3 = 16 -14v = 16 Divide each side by '-14'. v = -1.142857143 Simplifying v = -1.142857143
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