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Simplifying -6v = 15 + -3(4v + -13) Reorder the terms: -6v = 15 + -3(-13 + 4v) -6v = 15 + (-13 * -3 + 4v * -3) -6v = 15 + (39 + -12v) Combine like terms: 15 + 39 = 54 -6v = 54 + -12v Solving -6v = 54 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. -6v + 12v = 54 + -12v + 12v Combine like terms: -6v + 12v = 6v 6v = 54 + -12v + 12v Combine like terms: -12v + 12v = 0 6v = 54 + 0 6v = 54 Divide each side by '6'. v = 9 Simplifying v = 9
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