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Simplifying -2(v + 1) = 8v + -4 + 2(3v + 7) Reorder the terms: -2(1 + v) = 8v + -4 + 2(3v + 7) (1 * -2 + v * -2) = 8v + -4 + 2(3v + 7) (-2 + -2v) = 8v + -4 + 2(3v + 7) Reorder the terms: -2 + -2v = 8v + -4 + 2(7 + 3v) -2 + -2v = 8v + -4 + (7 * 2 + 3v * 2) -2 + -2v = 8v + -4 + (14 + 6v) Reorder the terms: -2 + -2v = -4 + 14 + 8v + 6v Combine like terms: -4 + 14 = 10 -2 + -2v = 10 + 8v + 6v Combine like terms: 8v + 6v = 14v -2 + -2v = 10 + 14v Solving -2 + -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. -2 + -2v + -14v = 10 + 14v + -14v Combine like terms: -2v + -14v = -16v -2 + -16v = 10 + 14v + -14v Combine like terms: 14v + -14v = 0 -2 + -16v = 10 + 0 -2 + -16v = 10 Add '2' to each side of the equation. -2 + 2 + -16v = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -16v = 10 + 2 -16v = 10 + 2 Combine like terms: 10 + 2 = 12 -16v = 12 Divide each side by '-16'. v = -0.75 Simplifying v = -0.75
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