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Simplifying 6(v + -3) = 9v + 9 Reorder the terms: 6(-3 + v) = 9v + 9 (-3 * 6 + v * 6) = 9v + 9 (-18 + 6v) = 9v + 9 Reorder the terms: -18 + 6v = 9 + 9v Solving -18 + 6v = 9 + 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 + 6v + -9v = 9 + 9v + -9v Combine like terms: 6v + -9v = -3v -18 + -3v = 9 + 9v + -9v Combine like terms: 9v + -9v = 0 -18 + -3v = 9 + 0 -18 + -3v = 9 Add '18' to each side of the equation. -18 + 18 + -3v = 9 + 18 Combine like terms: -18 + 18 = 0 0 + -3v = 9 + 18 -3v = 9 + 18 Combine like terms: 9 + 18 = 27 -3v = 27 Divide each side by '-3'. v = -9 Simplifying v = -9
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