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Simplifying -23 = 3v + 8(v + -7) Reorder the terms: -23 = 3v + 8(-7 + v) -23 = 3v + (-7 * 8 + v * 8) -23 = 3v + (-56 + 8v) Reorder the terms: -23 = -56 + 3v + 8v Combine like terms: 3v + 8v = 11v -23 = -56 + 11v Solving -23 = -56 + 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 = -56 + 11v + -11v Combine like terms: 11v + -11v = 0 -23 + -11v = -56 + 0 -23 + -11v = -56 Add '23' to each side of the equation. -23 + 23 + -11v = -56 + 23 Combine like terms: -23 + 23 = 0 0 + -11v = -56 + 23 -11v = -56 + 23 Combine like terms: -56 + 23 = -33 -11v = -33 Divide each side by '-11'. v = 3 Simplifying v = 3
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