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Simplifying -5v + 3(1 + 8v) = 27 + 7v -5v + (1 * 3 + 8v * 3) = 27 + 7v -5v + (3 + 24v) = 27 + 7v Reorder the terms: 3 + -5v + 24v = 27 + 7v Combine like terms: -5v + 24v = 19v 3 + 19v = 27 + 7v Solving 3 + 19v = 27 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 3 + 19v + -7v = 27 + 7v + -7v Combine like terms: 19v + -7v = 12v 3 + 12v = 27 + 7v + -7v Combine like terms: 7v + -7v = 0 3 + 12v = 27 + 0 3 + 12v = 27 Add '-3' to each side of the equation. 3 + -3 + 12v = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 12v = 27 + -3 12v = 27 + -3 Combine like terms: 27 + -3 = 24 12v = 24 Divide each side by '12'. v = 2 Simplifying v = 2
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