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Simplifying -8v + 12 = -2(v + 3) Reorder the terms: 12 + -8v = -2(v + 3) Reorder the terms: 12 + -8v = -2(3 + v) 12 + -8v = (3 * -2 + v * -2) 12 + -8v = (-6 + -2v) Solving 12 + -8v = -6 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 12 + -8v + 2v = -6 + -2v + 2v Combine like terms: -8v + 2v = -6v 12 + -6v = -6 + -2v + 2v Combine like terms: -2v + 2v = 0 12 + -6v = -6 + 0 12 + -6v = -6 Add '-12' to each side of the equation. 12 + -12 + -6v = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -6v = -6 + -12 -6v = -6 + -12 Combine like terms: -6 + -12 = -18 -6v = -18 Divide each side by '-6'. v = 3 Simplifying v = 3
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