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Simplifying -12 = 5(v + 3) + -8v Reorder the terms: -12 = 5(3 + v) + -8v -12 = (3 * 5 + v * 5) + -8v -12 = (15 + 5v) + -8v Combine like terms: 5v + -8v = -3v -12 = 15 + -3v Solving -12 = 15 + -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. -12 + 3v = 15 + -3v + 3v Combine like terms: -3v + 3v = 0 -12 + 3v = 15 + 0 -12 + 3v = 15 Add '12' to each side of the equation. -12 + 12 + 3v = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 3v = 15 + 12 3v = 15 + 12 Combine like terms: 15 + 12 = 27 3v = 27 Divide each side by '3'. v = 9 Simplifying v = 9
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