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Simplifying -7 = 20v + 2v + -5(-2 + v) -7 = 20v + 2v + (-2 * -5 + v * -5) -7 = 20v + 2v + (10 + -5v) Reorder the terms: -7 = 10 + 20v + 2v + -5v Combine like terms: 20v + 2v = 22v -7 = 10 + 22v + -5v Combine like terms: 22v + -5v = 17v -7 = 10 + 17v Solving -7 = 10 + 17v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-17v' to each side of the equation. -7 + -17v = 10 + 17v + -17v Combine like terms: 17v + -17v = 0 -7 + -17v = 10 + 0 -7 + -17v = 10 Add '7' to each side of the equation. -7 + 7 + -17v = 10 + 7 Combine like terms: -7 + 7 = 0 0 + -17v = 10 + 7 -17v = 10 + 7 Combine like terms: 10 + 7 = 17 -17v = 17 Divide each side by '-17'. v = -1 Simplifying v = -1
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