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Simplifying -2(v + 4) = 7v + -4 + 3(3v + 2) Reorder the terms: -2(4 + v) = 7v + -4 + 3(3v + 2) (4 * -2 + v * -2) = 7v + -4 + 3(3v + 2) (-8 + -2v) = 7v + -4 + 3(3v + 2) Reorder the terms: -8 + -2v = 7v + -4 + 3(2 + 3v) -8 + -2v = 7v + -4 + (2 * 3 + 3v * 3) -8 + -2v = 7v + -4 + (6 + 9v) Reorder the terms: -8 + -2v = -4 + 6 + 7v + 9v Combine like terms: -4 + 6 = 2 -8 + -2v = 2 + 7v + 9v Combine like terms: 7v + 9v = 16v -8 + -2v = 2 + 16v Solving -8 + -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. -8 + -2v + -16v = 2 + 16v + -16v Combine like terms: -2v + -16v = -18v -8 + -18v = 2 + 16v + -16v Combine like terms: 16v + -16v = 0 -8 + -18v = 2 + 0 -8 + -18v = 2 Add '8' to each side of the equation. -8 + 8 + -18v = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -18v = 2 + 8 -18v = 2 + 8 Combine like terms: 2 + 8 = 10 -18v = 10 Divide each side by '-18'. v = -0.5555555556 Simplifying v = -0.5555555556
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