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Simplifying 19 = 2(v + 8) + -5v Reorder the terms: 19 = 2(8 + v) + -5v 19 = (8 * 2 + v * 2) + -5v 19 = (16 + 2v) + -5v Combine like terms: 2v + -5v = -3v 19 = 16 + -3v Solving 19 = 16 + -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. 19 + 3v = 16 + -3v + 3v Combine like terms: -3v + 3v = 0 19 + 3v = 16 + 0 19 + 3v = 16 Add '-19' to each side of the equation. 19 + -19 + 3v = 16 + -19 Combine like terms: 19 + -19 = 0 0 + 3v = 16 + -19 3v = 16 + -19 Combine like terms: 16 + -19 = -3 3v = -3 Divide each side by '3'. v = -1 Simplifying v = -1
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