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Simplifying 3(v + -6) = -9v + 18 Reorder the terms: 3(-6 + v) = -9v + 18 (-6 * 3 + v * 3) = -9v + 18 (-18 + 3v) = -9v + 18 Reorder the terms: -18 + 3v = 18 + -9v Solving -18 + 3v = 18 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -18 + 3v + 9v = 18 + -9v + 9v Combine like terms: 3v + 9v = 12v -18 + 12v = 18 + -9v + 9v Combine like terms: -9v + 9v = 0 -18 + 12v = 18 + 0 -18 + 12v = 18 Add '18' to each side of the equation. -18 + 18 + 12v = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 12v = 18 + 18 12v = 18 + 18 Combine like terms: 18 + 18 = 36 12v = 36 Divide each side by '12'. v = 3 Simplifying v = 3
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