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Simplifying 3(1 + 5v) + -3v = -81 (1 * 3 + 5v * 3) + -3v = -81 (3 + 15v) + -3v = -81 Combine like terms: 15v + -3v = 12v 3 + 12v = -81 Solving 3 + 12v = -81 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 12v = -81 + -3 Combine like terms: 3 + -3 = 0 0 + 12v = -81 + -3 12v = -81 + -3 Combine like terms: -81 + -3 = -84 12v = -84 Divide each side by '12'. v = -7 Simplifying v = -7
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