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Simplifying 8(v + -3) + -6v = -30 Reorder the terms: 8(-3 + v) + -6v = -30 (-3 * 8 + v * 8) + -6v = -30 (-24 + 8v) + -6v = -30 Combine like terms: 8v + -6v = 2v -24 + 2v = -30 Solving -24 + 2v = -30 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 + 2v = -30 + 24 Combine like terms: -24 + 24 = 0 0 + 2v = -30 + 24 2v = -30 + 24 Combine like terms: -30 + 24 = -6 2v = -6 Divide each side by '2'. v = -3 Simplifying v = -3
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