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Simplifying 5v + 17 = 2(v + 4) Reorder the terms: 17 + 5v = 2(v + 4) Reorder the terms: 17 + 5v = 2(4 + v) 17 + 5v = (4 * 2 + v * 2) 17 + 5v = (8 + 2v) Solving 17 + 5v = 8 + 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. 17 + 5v + -2v = 8 + 2v + -2v Combine like terms: 5v + -2v = 3v 17 + 3v = 8 + 2v + -2v Combine like terms: 2v + -2v = 0 17 + 3v = 8 + 0 17 + 3v = 8 Add '-17' to each side of the equation. 17 + -17 + 3v = 8 + -17 Combine like terms: 17 + -17 = 0 0 + 3v = 8 + -17 3v = 8 + -17 Combine like terms: 8 + -17 = -9 3v = -9 Divide each side by '3'. v = -3 Simplifying v = -3
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