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Simplifying 6(v + -6) + 3v = -9 Reorder the terms: 6(-6 + v) + 3v = -9 (-6 * 6 + v * 6) + 3v = -9 (-36 + 6v) + 3v = -9 Combine like terms: 6v + 3v = 9v -36 + 9v = -9 Solving -36 + 9v = -9 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 9v = -9 + 36 Combine like terms: -36 + 36 = 0 0 + 9v = -9 + 36 9v = -9 + 36 Combine like terms: -9 + 36 = 27 9v = 27 Divide each side by '9'. v = 3 Simplifying v = 3
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