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Simplifying 81 = -3 + -4(4v + -1) Reorder the terms: 81 = -3 + -4(-1 + 4v) 81 = -3 + (-1 * -4 + 4v * -4) 81 = -3 + (4 + -16v) Combine like terms: -3 + 4 = 1 81 = 1 + -16v Solving 81 = 1 + -16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16v' to each side of the equation. 81 + 16v = 1 + -16v + 16v Combine like terms: -16v + 16v = 0 81 + 16v = 1 + 0 81 + 16v = 1 Add '-81' to each side of the equation. 81 + -81 + 16v = 1 + -81 Combine like terms: 81 + -81 = 0 0 + 16v = 1 + -81 16v = 1 + -81 Combine like terms: 1 + -81 = -80 16v = -80 Divide each side by '16'. v = -5 Simplifying v = -5
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