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Simplifying 2(v + 5) = -2(7v + -4) Reorder the terms: 2(5 + v) = -2(7v + -4) (5 * 2 + v * 2) = -2(7v + -4) (10 + 2v) = -2(7v + -4) Reorder the terms: 10 + 2v = -2(-4 + 7v) 10 + 2v = (-4 * -2 + 7v * -2) 10 + 2v = (8 + -14v) Solving 10 + 2v = 8 + -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. 10 + 2v + 14v = 8 + -14v + 14v Combine like terms: 2v + 14v = 16v 10 + 16v = 8 + -14v + 14v Combine like terms: -14v + 14v = 0 10 + 16v = 8 + 0 10 + 16v = 8 Add '-10' to each side of the equation. 10 + -10 + 16v = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 16v = 8 + -10 16v = 8 + -10 Combine like terms: 8 + -10 = -2 16v = -2 Divide each side by '16'. v = -0.125 Simplifying v = -0.125
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