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Simplifying -12 = 4(v + 5) + -8 Reorder the terms: -12 = 4(5 + v) + -8 -12 = (5 * 4 + v * 4) + -8 -12 = (20 + 4v) + -8 Reorder the terms: -12 = 20 + -8 + 4v Combine like terms: 20 + -8 = 12 -12 = 12 + 4v Solving -12 = 12 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -12 + -4v = 12 + 4v + -4v Combine like terms: 4v + -4v = 0 -12 + -4v = 12 + 0 -12 + -4v = 12 Add '12' to each side of the equation. -12 + 12 + -4v = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -4v = 12 + 12 -4v = 12 + 12 Combine like terms: 12 + 12 = 24 -4v = 24 Divide each side by '-4'. v = -6 Simplifying v = -6
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