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Simplifying -5v + -6 = 2(5 + 3v) + 5v Reorder the terms: -6 + -5v = 2(5 + 3v) + 5v -6 + -5v = (5 * 2 + 3v * 2) + 5v -6 + -5v = (10 + 6v) + 5v Combine like terms: 6v + 5v = 11v -6 + -5v = 10 + 11v Solving -6 + -5v = 10 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -6 + -5v + -11v = 10 + 11v + -11v Combine like terms: -5v + -11v = -16v -6 + -16v = 10 + 11v + -11v Combine like terms: 11v + -11v = 0 -6 + -16v = 10 + 0 -6 + -16v = 10 Add '6' to each side of the equation. -6 + 6 + -16v = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -16v = 10 + 6 -16v = 10 + 6 Combine like terms: 10 + 6 = 16 -16v = 16 Divide each side by '-16'. v = -1 Simplifying v = -1
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