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