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Simplifying 8v + 3(v + 5) = 92 Reorder the terms: 8v + 3(5 + v) = 92 8v + (5 * 3 + v * 3) = 92 8v + (15 + 3v) = 92 Reorder the terms: 15 + 8v + 3v = 92 Combine like terms: 8v + 3v = 11v 15 + 11v = 92 Solving 15 + 11v = 92 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 11v = 92 + -15 Combine like terms: 15 + -15 = 0 0 + 11v = 92 + -15 11v = 92 + -15 Combine like terms: 92 + -15 = 77 11v = 77 Divide each side by '11'. v = 7 Simplifying v = 7
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