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Simplifying -3(v + -6) = -9v + 6 Reorder the terms: -3(-6 + v) = -9v + 6 (-6 * -3 + v * -3) = -9v + 6 (18 + -3v) = -9v + 6 Reorder the terms: 18 + -3v = 6 + -9v Solving 18 + -3v = 6 + -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 = 6 + -9v + 9v Combine like terms: -3v + 9v = 6v 18 + 6v = 6 + -9v + 9v Combine like terms: -9v + 9v = 0 18 + 6v = 6 + 0 18 + 6v = 6 Add '-18' to each side of the equation. 18 + -18 + 6v = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 6v = 6 + -18 6v = 6 + -18 Combine like terms: 6 + -18 = -12 6v = -12 Divide each side by '6'. v = -2 Simplifying v = -2
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