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Simplifying -4 + 5(7 + 2v) = 81 -4 + (7 * 5 + 2v * 5) = 81 -4 + (35 + 10v) = 81 Combine like terms: -4 + 35 = 31 31 + 10v = 81 Solving 31 + 10v = 81 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 10v = 81 + -31 Combine like terms: 31 + -31 = 0 0 + 10v = 81 + -31 10v = 81 + -31 Combine like terms: 81 + -31 = 50 10v = 50 Divide each side by '10'. v = 5 Simplifying v = 5
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