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Simplifying -6(v + -6) = -3v + 27 Reorder the terms: -6(-6 + v) = -3v + 27 (-6 * -6 + v * -6) = -3v + 27 (36 + -6v) = -3v + 27 Reorder the terms: 36 + -6v = 27 + -3v Solving 36 + -6v = 27 + -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. 36 + -6v + 3v = 27 + -3v + 3v Combine like terms: -6v + 3v = -3v 36 + -3v = 27 + -3v + 3v Combine like terms: -3v + 3v = 0 36 + -3v = 27 + 0 36 + -3v = 27 Add '-36' to each side of the equation. 36 + -36 + -3v = 27 + -36 Combine like terms: 36 + -36 = 0 0 + -3v = 27 + -36 -3v = 27 + -36 Combine like terms: 27 + -36 = -9 -3v = -9 Divide each side by '-3'. v = 3 Simplifying v = 3
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