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Simplifying 3(v + 6) = -6v + -27 Reorder the terms: 3(6 + v) = -6v + -27 (6 * 3 + v * 3) = -6v + -27 (18 + 3v) = -6v + -27 Reorder the terms: 18 + 3v = -27 + -6v Solving 18 + 3v = -27 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 18 + 3v + 6v = -27 + -6v + 6v Combine like terms: 3v + 6v = 9v 18 + 9v = -27 + -6v + 6v Combine like terms: -6v + 6v = 0 18 + 9v = -27 + 0 18 + 9v = -27 Add '-18' to each side of the equation. 18 + -18 + 9v = -27 + -18 Combine like terms: 18 + -18 = 0 0 + 9v = -27 + -18 9v = -27 + -18 Combine like terms: -27 + -18 = -45 9v = -45 Divide each side by '9'. v = -5 Simplifying v = -5
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