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Simplifying -4(v + 4) = 2v + -3 + 2(6v + 1) Reorder the terms: -4(4 + v) = 2v + -3 + 2(6v + 1) (4 * -4 + v * -4) = 2v + -3 + 2(6v + 1) (-16 + -4v) = 2v + -3 + 2(6v + 1) Reorder the terms: -16 + -4v = 2v + -3 + 2(1 + 6v) -16 + -4v = 2v + -3 + (1 * 2 + 6v * 2) -16 + -4v = 2v + -3 + (2 + 12v) Reorder the terms: -16 + -4v = -3 + 2 + 2v + 12v Combine like terms: -3 + 2 = -1 -16 + -4v = -1 + 2v + 12v Combine like terms: 2v + 12v = 14v -16 + -4v = -1 + 14v Solving -16 + -4v = -1 + 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. -16 + -4v + -14v = -1 + 14v + -14v Combine like terms: -4v + -14v = -18v -16 + -18v = -1 + 14v + -14v Combine like terms: 14v + -14v = 0 -16 + -18v = -1 + 0 -16 + -18v = -1 Add '16' to each side of the equation. -16 + 16 + -18v = -1 + 16 Combine like terms: -16 + 16 = 0 0 + -18v = -1 + 16 -18v = -1 + 16 Combine like terms: -1 + 16 = 15 -18v = 15 Divide each side by '-18'. v = -0.8333333333 Simplifying v = -0.8333333333
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