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Simplifying 2(v + -1) = 6v + 1 + -5(-2v + -1) Reorder the terms: 2(-1 + v) = 6v + 1 + -5(-2v + -1) (-1 * 2 + v * 2) = 6v + 1 + -5(-2v + -1) (-2 + 2v) = 6v + 1 + -5(-2v + -1) Reorder the terms: -2 + 2v = 6v + 1 + -5(-1 + -2v) -2 + 2v = 6v + 1 + (-1 * -5 + -2v * -5) -2 + 2v = 6v + 1 + (5 + 10v) Reorder the terms: -2 + 2v = 1 + 5 + 6v + 10v Combine like terms: 1 + 5 = 6 -2 + 2v = 6 + 6v + 10v Combine like terms: 6v + 10v = 16v -2 + 2v = 6 + 16v Solving -2 + 2v = 6 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. -2 + 2v + -16v = 6 + 16v + -16v Combine like terms: 2v + -16v = -14v -2 + -14v = 6 + 16v + -16v Combine like terms: 16v + -16v = 0 -2 + -14v = 6 + 0 -2 + -14v = 6 Add '2' to each side of the equation. -2 + 2 + -14v = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -14v = 6 + 2 -14v = 6 + 2 Combine like terms: 6 + 2 = 8 -14v = 8 Divide each side by '-14'. v = -0.5714285714 Simplifying v = -0.5714285714
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