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Simplifying -15 = -5v + 2(v + 6) Reorder the terms: -15 = -5v + 2(6 + v) -15 = -5v + (6 * 2 + v * 2) -15 = -5v + (12 + 2v) Reorder the terms: -15 = 12 + -5v + 2v Combine like terms: -5v + 2v = -3v -15 = 12 + -3v Solving -15 = 12 + -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. -15 + 3v = 12 + -3v + 3v Combine like terms: -3v + 3v = 0 -15 + 3v = 12 + 0 -15 + 3v = 12 Add '15' to each side of the equation. -15 + 15 + 3v = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 3v = 12 + 15 3v = 12 + 15 Combine like terms: 12 + 15 = 27 3v = 27 Divide each side by '3'. v = 9 Simplifying v = 9
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