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Simplifying 3(v + -6) + -6v = 9 Reorder the terms: 3(-6 + v) + -6v = 9 (-6 * 3 + v * 3) + -6v = 9 (-18 + 3v) + -6v = 9 Combine like terms: 3v + -6v = -3v -18 + -3v = 9 Solving -18 + -3v = 9 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 + -3v = 9 + 18 Combine like terms: -18 + 18 = 0 0 + -3v = 9 + 18 -3v = 9 + 18 Combine like terms: 9 + 18 = 27 -3v = 27 Divide each side by '-3'. v = -9 Simplifying v = -9
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