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Simplifying -23 = 4v + 7(v + -2) Reorder the terms: -23 = 4v + 7(-2 + v) -23 = 4v + (-2 * 7 + v * 7) -23 = 4v + (-14 + 7v) Reorder the terms: -23 = -14 + 4v + 7v Combine like terms: 4v + 7v = 11v -23 = -14 + 11v Solving -23 = -14 + 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 = -14 + 11v + -11v Combine like terms: 11v + -11v = 0 -23 + -11v = -14 + 0 -23 + -11v = -14 Add '23' to each side of the equation. -23 + 23 + -11v = -14 + 23 Combine like terms: -23 + 23 = 0 0 + -11v = -14 + 23 -11v = -14 + 23 Combine like terms: -14 + 23 = 9 -11v = 9 Divide each side by '-11'. v = -0.8181818182 Simplifying v = -0.8181818182
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