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