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Simplifying -12 = 6(v + -8) + 6v Reorder the terms: -12 = 6(-8 + v) + 6v -12 = (-8 * 6 + v * 6) + 6v -12 = (-48 + 6v) + 6v Combine like terms: 6v + 6v = 12v -12 = -48 + 12v Solving -12 = -48 + 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. -12 + -12v = -48 + 12v + -12v Combine like terms: 12v + -12v = 0 -12 + -12v = -48 + 0 -12 + -12v = -48 Add '12' to each side of the equation. -12 + 12 + -12v = -48 + 12 Combine like terms: -12 + 12 = 0 0 + -12v = -48 + 12 -12v = -48 + 12 Combine like terms: -48 + 12 = -36 -12v = -36 Divide each side by '-12'. v = 3 Simplifying v = 3
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