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Simplifying -1(4v + 4) = 7(2v + 4) Reorder the terms: -1(4 + 4v) = 7(2v + 4) (4 * -1 + 4v * -1) = 7(2v + 4) (-4 + -4v) = 7(2v + 4) Reorder the terms: -4 + -4v = 7(4 + 2v) -4 + -4v = (4 * 7 + 2v * 7) -4 + -4v = (28 + 14v) Solving -4 + -4v = 28 + 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 = 28 + 14v + -14v Combine like terms: -4v + -14v = -18v -4 + -18v = 28 + 14v + -14v Combine like terms: 14v + -14v = 0 -4 + -18v = 28 + 0 -4 + -18v = 28 Add '4' to each side of the equation. -4 + 4 + -18v = 28 + 4 Combine like terms: -4 + 4 = 0 0 + -18v = 28 + 4 -18v = 28 + 4 Combine like terms: 28 + 4 = 32 -18v = 32 Divide each side by '-18'. v = -1.777777778 Simplifying v = -1.777777778
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