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Simplifying -2(v + 7) = 2v + -6 + 2(7v + 4) Reorder the terms: -2(7 + v) = 2v + -6 + 2(7v + 4) (7 * -2 + v * -2) = 2v + -6 + 2(7v + 4) (-14 + -2v) = 2v + -6 + 2(7v + 4) Reorder the terms: -14 + -2v = 2v + -6 + 2(4 + 7v) -14 + -2v = 2v + -6 + (4 * 2 + 7v * 2) -14 + -2v = 2v + -6 + (8 + 14v) Reorder the terms: -14 + -2v = -6 + 8 + 2v + 14v Combine like terms: -6 + 8 = 2 -14 + -2v = 2 + 2v + 14v Combine like terms: 2v + 14v = 16v -14 + -2v = 2 + 16v Solving -14 + -2v = 2 + 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. -14 + -2v + -16v = 2 + 16v + -16v Combine like terms: -2v + -16v = -18v -14 + -18v = 2 + 16v + -16v Combine like terms: 16v + -16v = 0 -14 + -18v = 2 + 0 -14 + -18v = 2 Add '14' to each side of the equation. -14 + 14 + -18v = 2 + 14 Combine like terms: -14 + 14 = 0 0 + -18v = 2 + 14 -18v = 2 + 14 Combine like terms: 2 + 14 = 16 -18v = 16 Divide each side by '-18'. v = -0.8888888889 Simplifying v = -0.8888888889
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