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Simplifying 5v + 23 = 2(v + 4) Reorder the terms: 23 + 5v = 2(v + 4) Reorder the terms: 23 + 5v = 2(4 + v) 23 + 5v = (4 * 2 + v * 2) 23 + 5v = (8 + 2v) Solving 23 + 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. 23 + 5v + -2v = 8 + 2v + -2v Combine like terms: 5v + -2v = 3v 23 + 3v = 8 + 2v + -2v Combine like terms: 2v + -2v = 0 23 + 3v = 8 + 0 23 + 3v = 8 Add '-23' to each side of the equation. 23 + -23 + 3v = 8 + -23 Combine like terms: 23 + -23 = 0 0 + 3v = 8 + -23 3v = 8 + -23 Combine like terms: 8 + -23 = -15 3v = -15 Divide each side by '3'. v = -5 Simplifying v = -5
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