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Simplifying -4(v + 1) = 8v + -6 + 2(3v + 8) Reorder the terms: -4(1 + v) = 8v + -6 + 2(3v + 8) (1 * -4 + v * -4) = 8v + -6 + 2(3v + 8) (-4 + -4v) = 8v + -6 + 2(3v + 8) Reorder the terms: -4 + -4v = 8v + -6 + 2(8 + 3v) -4 + -4v = 8v + -6 + (8 * 2 + 3v * 2) -4 + -4v = 8v + -6 + (16 + 6v) Reorder the terms: -4 + -4v = -6 + 16 + 8v + 6v Combine like terms: -6 + 16 = 10 -4 + -4v = 10 + 8v + 6v Combine like terms: 8v + 6v = 14v -4 + -4v = 10 + 14v Solving -4 + -4v = 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. -4 + -4v + -14v = 10 + 14v + -14v Combine like terms: -4v + -14v = -18v -4 + -18v = 10 + 14v + -14v Combine like terms: 14v + -14v = 0 -4 + -18v = 10 + 0 -4 + -18v = 10 Add '4' to each side of the equation. -4 + 4 + -18v = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -18v = 10 + 4 -18v = 10 + 4 Combine like terms: 10 + 4 = 14 -18v = 14 Divide each side by '-18'. v = -0.7777777778 Simplifying v = -0.7777777778
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