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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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