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Simplifying 8v + 23 = 3(v + 6) Reorder the terms: 23 + 8v = 3(v + 6) Reorder the terms: 23 + 8v = 3(6 + v) 23 + 8v = (6 * 3 + v * 3) 23 + 8v = (18 + 3v) Solving 23 + 8v = 18 + 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. 23 + 8v + -3v = 18 + 3v + -3v Combine like terms: 8v + -3v = 5v 23 + 5v = 18 + 3v + -3v Combine like terms: 3v + -3v = 0 23 + 5v = 18 + 0 23 + 5v = 18 Add '-23' to each side of the equation. 23 + -23 + 5v = 18 + -23 Combine like terms: 23 + -23 = 0 0 + 5v = 18 + -23 5v = 18 + -23 Combine like terms: 18 + -23 = -5 5v = -5 Divide each side by '5'. v = -1 Simplifying v = -1
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