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Simplifying 81 = 3(5v + 7) Reorder the terms: 81 = 3(7 + 5v) 81 = (7 * 3 + 5v * 3) 81 = (21 + 15v) Solving 81 = 21 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. 81 + -15v = 21 + 15v + -15v Combine like terms: 15v + -15v = 0 81 + -15v = 21 + 0 81 + -15v = 21 Add '-81' to each side of the equation. 81 + -81 + -15v = 21 + -81 Combine like terms: 81 + -81 = 0 0 + -15v = 21 + -81 -15v = 21 + -81 Combine like terms: 21 + -81 = -60 -15v = -60 Divide each side by '-15'. v = 4 Simplifying v = 4
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