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Simplifying 92 = 5v + 6(v + 8) Reorder the terms: 92 = 5v + 6(8 + v) 92 = 5v + (8 * 6 + v * 6) 92 = 5v + (48 + 6v) Reorder the terms: 92 = 48 + 5v + 6v Combine like terms: 5v + 6v = 11v 92 = 48 + 11v Solving 92 = 48 + 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. 92 + -11v = 48 + 11v + -11v Combine like terms: 11v + -11v = 0 92 + -11v = 48 + 0 92 + -11v = 48 Add '-92' to each side of the equation. 92 + -92 + -11v = 48 + -92 Combine like terms: 92 + -92 = 0 0 + -11v = 48 + -92 -11v = 48 + -92 Combine like terms: 48 + -92 = -44 -11v = -44 Divide each side by '-11'. v = 4 Simplifying v = 4
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