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Simplifying 2 = -8v + 6(v + -2) Reorder the terms: 2 = -8v + 6(-2 + v) 2 = -8v + (-2 * 6 + v * 6) 2 = -8v + (-12 + 6v) Reorder the terms: 2 = -12 + -8v + 6v Combine like terms: -8v + 6v = -2v 2 = -12 + -2v Solving 2 = -12 + -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. 2 + 2v = -12 + -2v + 2v Combine like terms: -2v + 2v = 0 2 + 2v = -12 + 0 2 + 2v = -12 Add '-2' to each side of the equation. 2 + -2 + 2v = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 2v = -12 + -2 2v = -12 + -2 Combine like terms: -12 + -2 = -14 2v = -14 Divide each side by '2'. v = -7 Simplifying v = -7
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