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Simplifying 8(3v + -3) + 2v = -102 Reorder the terms: 8(-3 + 3v) + 2v = -102 (-3 * 8 + 3v * 8) + 2v = -102 (-24 + 24v) + 2v = -102 Combine like terms: 24v + 2v = 26v -24 + 26v = -102 Solving -24 + 26v = -102 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 26v = -102 + 24 Combine like terms: -24 + 24 = 0 0 + 26v = -102 + 24 26v = -102 + 24 Combine like terms: -102 + 24 = -78 26v = -78 Divide each side by '26'. v = -3 Simplifying v = -3
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