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Simplifying 5v + 19 = 2(v + 8) Reorder the terms: 19 + 5v = 2(v + 8) Reorder the terms: 19 + 5v = 2(8 + v) 19 + 5v = (8 * 2 + v * 2) 19 + 5v = (16 + 2v) Solving 19 + 5v = 16 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 19 + 5v + -2v = 16 + 2v + -2v Combine like terms: 5v + -2v = 3v 19 + 3v = 16 + 2v + -2v Combine like terms: 2v + -2v = 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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