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Simplifying 3(v + -1) = 81 + -1v Reorder the terms: 3(-1 + v) = 81 + -1v (-1 * 3 + v * 3) = 81 + -1v (-3 + 3v) = 81 + -1v Solving -3 + 3v = 81 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -3 + 3v + v = 81 + -1v + v Combine like terms: 3v + v = 4v -3 + 4v = 81 + -1v + v Combine like terms: -1v + v = 0 -3 + 4v = 81 + 0 -3 + 4v = 81 Add '3' to each side of the equation. -3 + 3 + 4v = 81 + 3 Combine like terms: -3 + 3 = 0 0 + 4v = 81 + 3 4v = 81 + 3 Combine like terms: 81 + 3 = 84 4v = 84 Divide each side by '4'. v = 21 Simplifying v = 21
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