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Simplifying 2(v + -3) = 4v + 5 + -5(-2v + -1) Reorder the terms: 2(-3 + v) = 4v + 5 + -5(-2v + -1) (-3 * 2 + v * 2) = 4v + 5 + -5(-2v + -1) (-6 + 2v) = 4v + 5 + -5(-2v + -1) Reorder the terms: -6 + 2v = 4v + 5 + -5(-1 + -2v) -6 + 2v = 4v + 5 + (-1 * -5 + -2v * -5) -6 + 2v = 4v + 5 + (5 + 10v) Reorder the terms: -6 + 2v = 5 + 5 + 4v + 10v Combine like terms: 5 + 5 = 10 -6 + 2v = 10 + 4v + 10v Combine like terms: 4v + 10v = 14v -6 + 2v = 10 + 14v Solving -6 + 2v = 10 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. -6 + 2v + -14v = 10 + 14v + -14v Combine like terms: 2v + -14v = -12v -6 + -12v = 10 + 14v + -14v Combine like terms: 14v + -14v = 0 -6 + -12v = 10 + 0 -6 + -12v = 10 Add '6' to each side of the equation. -6 + 6 + -12v = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -12v = 10 + 6 -12v = 10 + 6 Combine like terms: 10 + 6 = 16 -12v = 16 Divide each side by '-12'. v = -1.333333333 Simplifying v = -1.333333333
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