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Simplifying 3(v + -3) + 3v = -27 Reorder the terms: 3(-3 + v) + 3v = -27 (-3 * 3 + v * 3) + 3v = -27 (-9 + 3v) + 3v = -27 Combine like terms: 3v + 3v = 6v -9 + 6v = -27 Solving -9 + 6v = -27 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 6v = -27 + 9 Combine like terms: -9 + 9 = 0 0 + 6v = -27 + 9 6v = -27 + 9 Combine like terms: -27 + 9 = -18 6v = -18 Divide each side by '6'. v = -3 Simplifying v = -3
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