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Simplifying -2v + 23 = 3(v + 1) Reorder the terms: 23 + -2v = 3(v + 1) Reorder the terms: 23 + -2v = 3(1 + v) 23 + -2v = (1 * 3 + v * 3) 23 + -2v = (3 + 3v) Solving 23 + -2v = 3 + 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 + -2v + -3v = 3 + 3v + -3v Combine like terms: -2v + -3v = -5v 23 + -5v = 3 + 3v + -3v Combine like terms: 3v + -3v = 0 23 + -5v = 3 + 0 23 + -5v = 3 Add '-23' to each side of the equation. 23 + -23 + -5v = 3 + -23 Combine like terms: 23 + -23 = 0 0 + -5v = 3 + -23 -5v = 3 + -23 Combine like terms: 3 + -23 = -20 -5v = -20 Divide each side by '-5'. v = 4 Simplifying v = 4
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