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Simplifying 3 = 3(v + 6) + -8v Reorder the terms: 3 = 3(6 + v) + -8v 3 = (6 * 3 + v * 3) + -8v 3 = (18 + 3v) + -8v Combine like terms: 3v + -8v = -5v 3 = 18 + -5v Solving 3 = 18 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 3 + 5v = 18 + -5v + 5v Combine like terms: -5v + 5v = 0 3 + 5v = 18 + 0 3 + 5v = 18 Add '-3' to each side of the equation. 3 + -3 + 5v = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 5v = 18 + -3 5v = 18 + -3 Combine like terms: 18 + -3 = 15 5v = 15 Divide each side by '5'. v = 3 Simplifying v = 3
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