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Simplifying -16 = 2(v + 7) + -5v Reorder the terms: -16 = 2(7 + v) + -5v -16 = (7 * 2 + v * 2) + -5v -16 = (14 + 2v) + -5v Combine like terms: 2v + -5v = -3v -16 = 14 + -3v Solving -16 = 14 + -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. -16 + 3v = 14 + -3v + 3v Combine like terms: -3v + 3v = 0 -16 + 3v = 14 + 0 -16 + 3v = 14 Add '16' to each side of the equation. -16 + 16 + 3v = 14 + 16 Combine like terms: -16 + 16 = 0 0 + 3v = 14 + 16 3v = 14 + 16 Combine like terms: 14 + 16 = 30 3v = 30 Divide each side by '3'. v = 10 Simplifying v = 10
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