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Simplifying v + 23 = -3(v + 3) Reorder the terms: 23 + v = -3(v + 3) Reorder the terms: 23 + v = -3(3 + v) 23 + v = (3 * -3 + v * -3) 23 + v = (-9 + -3v) Solving 23 + v = -9 + -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 + v + 3v = -9 + -3v + 3v Combine like terms: v + 3v = 4v 23 + 4v = -9 + -3v + 3v Combine like terms: -3v + 3v = 0 23 + 4v = -9 + 0 23 + 4v = -9 Add '-23' to each side of the equation. 23 + -23 + 4v = -9 + -23 Combine like terms: 23 + -23 = 0 0 + 4v = -9 + -23 4v = -9 + -23 Combine like terms: -9 + -23 = -32 4v = -32 Divide each side by '4'. v = -8 Simplifying v = -8
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