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Simplifying 30 = 3(v + 5) + -8v Reorder the terms: 30 = 3(5 + v) + -8v 30 = (5 * 3 + v * 3) + -8v 30 = (15 + 3v) + -8v Combine like terms: 3v + -8v = -5v 30 = 15 + -5v Solving 30 = 15 + -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. 30 + 5v = 15 + -5v + 5v Combine like terms: -5v + 5v = 0 30 + 5v = 15 + 0 30 + 5v = 15 Add '-30' to each side of the equation. 30 + -30 + 5v = 15 + -30 Combine like terms: 30 + -30 = 0 0 + 5v = 15 + -30 5v = 15 + -30 Combine like terms: 15 + -30 = -15 5v = -15 Divide each side by '5'. v = -3 Simplifying v = -3
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