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Simplifying 15 = -8v + 5(v + 6) Reorder the terms: 15 = -8v + 5(6 + v) 15 = -8v + (6 * 5 + v * 5) 15 = -8v + (30 + 5v) Reorder the terms: 15 = 30 + -8v + 5v Combine like terms: -8v + 5v = -3v 15 = 30 + -3v Solving 15 = 30 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 15 + 3v = 30 + -3v + 3v Combine like terms: -3v + 3v = 0 15 + 3v = 30 + 0 15 + 3v = 30 Add '-15' to each side of the equation. 15 + -15 + 3v = 30 + -15 Combine like terms: 15 + -15 = 0 0 + 3v = 30 + -15 3v = 30 + -15 Combine like terms: 30 + -15 = 15 3v = 15 Divide each side by '3'. v = 5 Simplifying v = 5
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