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