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Simplifying -7v + -5(-2 + 2v) = 2(2v + 5) -7v + (-2 * -5 + 2v * -5) = 2(2v + 5) -7v + (10 + -10v) = 2(2v + 5) Reorder the terms: 10 + -7v + -10v = 2(2v + 5) Combine like terms: -7v + -10v = -17v 10 + -17v = 2(2v + 5) Reorder the terms: 10 + -17v = 2(5 + 2v) 10 + -17v = (5 * 2 + 2v * 2) 10 + -17v = (10 + 4v) Add '-10' to each side of the equation. 10 + -10 + -17v = 10 + -10 + 4v Combine like terms: 10 + -10 = 0 0 + -17v = 10 + -10 + 4v -17v = 10 + -10 + 4v Combine like terms: 10 + -10 = 0 -17v = 0 + 4v -17v = 4v Solving -17v = 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -17v + -4v = 4v + -4v Combine like terms: -17v + -4v = -21v -21v = 4v + -4v Combine like terms: 4v + -4v = 0 -21v = 0 Divide each side by '-21'. v = 0 Simplifying v = 0
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