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Simplifying -12 = -8v + 5(v + -6) Reorder the terms: -12 = -8v + 5(-6 + v) -12 = -8v + (-6 * 5 + v * 5) -12 = -8v + (-30 + 5v) Reorder the terms: -12 = -30 + -8v + 5v Combine like terms: -8v + 5v = -3v -12 = -30 + -3v Solving -12 = -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. -12 + 3v = -30 + -3v + 3v Combine like terms: -3v + 3v = 0 -12 + 3v = -30 + 0 -12 + 3v = -30 Add '12' to each side of the equation. -12 + 12 + 3v = -30 + 12 Combine like terms: -12 + 12 = 0 0 + 3v = -30 + 12 3v = -30 + 12 Combine like terms: -30 + 12 = -18 3v = -18 Divide each side by '3'. v = -6 Simplifying v = -6
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