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Simplifying -8v + 12 = -4(v + -9) Reorder the terms: 12 + -8v = -4(v + -9) Reorder the terms: 12 + -8v = -4(-9 + v) 12 + -8v = (-9 * -4 + v * -4) 12 + -8v = (36 + -4v) Solving 12 + -8v = 36 + -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 + -8v + 4v = 36 + -4v + 4v Combine like terms: -8v + 4v = -4v 12 + -4v = 36 + -4v + 4v Combine like terms: -4v + 4v = 0 12 + -4v = 36 + 0 12 + -4v = 36 Add '-12' to each side of the equation. 12 + -12 + -4v = 36 + -12 Combine like terms: 12 + -12 = 0 0 + -4v = 36 + -12 -4v = 36 + -12 Combine like terms: 36 + -12 = 24 -4v = 24 Divide each side by '-4'. v = -6 Simplifying v = -6
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