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Simplifying 5v + 23 = 9(v + 3) Reorder the terms: 23 + 5v = 9(v + 3) Reorder the terms: 23 + 5v = 9(3 + v) 23 + 5v = (3 * 9 + v * 9) 23 + 5v = (27 + 9v) Solving 23 + 5v = 27 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 23 + 5v + -9v = 27 + 9v + -9v Combine like terms: 5v + -9v = -4v 23 + -4v = 27 + 9v + -9v Combine like terms: 9v + -9v = 0 23 + -4v = 27 + 0 23 + -4v = 27 Add '-23' to each side of the equation. 23 + -23 + -4v = 27 + -23 Combine like terms: 23 + -23 = 0 0 + -4v = 27 + -23 -4v = 27 + -23 Combine like terms: 27 + -23 = 4 -4v = 4 Divide each side by '-4'. v = -1 Simplifying v = -1
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