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Simplifying -11 = -5v + 2(v + 5) Reorder the terms: -11 = -5v + 2(5 + v) -11 = -5v + (5 * 2 + v * 2) -11 = -5v + (10 + 2v) Reorder the terms: -11 = 10 + -5v + 2v Combine like terms: -5v + 2v = -3v -11 = 10 + -3v Solving -11 = 10 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -11 + 3v = 10 + -3v + 3v Combine like terms: -3v + 3v = 0 -11 + 3v = 10 + 0 -11 + 3v = 10 Add '11' to each side of the equation. -11 + 11 + 3v = 10 + 11 Combine like terms: -11 + 11 = 0 0 + 3v = 10 + 11 3v = 10 + 11 Combine like terms: 10 + 11 = 21 3v = 21 Divide each side by '3'. v = 7 Simplifying v = 7
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