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