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Simplifying 23 = 6v + 5(v + -2) Reorder the terms: 23 = 6v + 5(-2 + v) 23 = 6v + (-2 * 5 + v * 5) 23 = 6v + (-10 + 5v) Reorder the terms: 23 = -10 + 6v + 5v Combine like terms: 6v + 5v = 11v 23 = -10 + 11v Solving 23 = -10 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. 23 + -11v = -10 + 11v + -11v Combine like terms: 11v + -11v = 0 23 + -11v = -10 + 0 23 + -11v = -10 Add '-23' to each side of the equation. 23 + -23 + -11v = -10 + -23 Combine like terms: 23 + -23 = 0 0 + -11v = -10 + -23 -11v = -10 + -23 Combine like terms: -10 + -23 = -33 -11v = -33 Divide each side by '-11'. v = 3 Simplifying v = 3
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