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Simplifying -15 = -8v + 3(v + 5) Reorder the terms: -15 = -8v + 3(5 + v) -15 = -8v + (5 * 3 + v * 3) -15 = -8v + (15 + 3v) Reorder the terms: -15 = 15 + -8v + 3v Combine like terms: -8v + 3v = -5v -15 = 15 + -5v Solving -15 = 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. -15 + 5v = 15 + -5v + 5v Combine like terms: -5v + 5v = 0 -15 + 5v = 15 + 0 -15 + 5v = 15 Add '15' to each side of the equation. -15 + 15 + 5v = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 5v = 15 + 15 5v = 15 + 15 Combine like terms: 15 + 15 = 30 5v = 30 Divide each side by '5'. v = 6 Simplifying v = 6
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