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Simplifying 2v + -7 + 2(7v + 1) = -2(v + 4) Reorder the terms: 2v + -7 + 2(1 + 7v) = -2(v + 4) 2v + -7 + (1 * 2 + 7v * 2) = -2(v + 4) 2v + -7 + (2 + 14v) = -2(v + 4) Reorder the terms: -7 + 2 + 2v + 14v = -2(v + 4) Combine like terms: -7 + 2 = -5 -5 + 2v + 14v = -2(v + 4) Combine like terms: 2v + 14v = 16v -5 + 16v = -2(v + 4) Reorder the terms: -5 + 16v = -2(4 + v) -5 + 16v = (4 * -2 + v * -2) -5 + 16v = (-8 + -2v) Solving -5 + 16v = -8 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -5 + 16v + 2v = -8 + -2v + 2v Combine like terms: 16v + 2v = 18v -5 + 18v = -8 + -2v + 2v Combine like terms: -2v + 2v = 0 -5 + 18v = -8 + 0 -5 + 18v = -8 Add '5' to each side of the equation. -5 + 5 + 18v = -8 + 5 Combine like terms: -5 + 5 = 0 0 + 18v = -8 + 5 18v = -8 + 5 Combine like terms: -8 + 5 = -3 18v = -3 Divide each side by '18'. v = -0.1666666667 Simplifying v = -0.1666666667
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