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Simplifying -9v + 18 = -3(v + 6) Reorder the terms: 18 + -9v = -3(v + 6) Reorder the terms: 18 + -9v = -3(6 + v) 18 + -9v = (6 * -3 + v * -3) 18 + -9v = (-18 + -3v) Solving 18 + -9v = -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. 18 + -9v + 3v = -18 + -3v + 3v Combine like terms: -9v + 3v = -6v 18 + -6v = -18 + -3v + 3v Combine like terms: -3v + 3v = 0 18 + -6v = -18 + 0 18 + -6v = -18 Add '-18' to each side of the equation. 18 + -18 + -6v = -18 + -18 Combine like terms: 18 + -18 = 0 0 + -6v = -18 + -18 -6v = -18 + -18 Combine like terms: -18 + -18 = -36 -6v = -36 Divide each side by '-6'. v = 6 Simplifying v = 6
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