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Simplifying 6(v + 2) + -8v = -6 Reorder the terms: 6(2 + v) + -8v = -6 (2 * 6 + v * 6) + -8v = -6 (12 + 6v) + -8v = -6 Combine like terms: 6v + -8v = -2v 12 + -2v = -6 Solving 12 + -2v = -6 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -2v = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -2v = -6 + -12 -2v = -6 + -12 Combine like terms: -6 + -12 = -18 -2v = -18 Divide each side by '-2'. v = 9 Simplifying v = 9
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