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Simplifying -6(v + 6) = 9v + 9 Reorder the terms: -6(6 + v) = 9v + 9 (6 * -6 + v * -6) = 9v + 9 (-36 + -6v) = 9v + 9 Reorder the terms: -36 + -6v = 9 + 9v Solving -36 + -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. -36 + -6v + -9v = 9 + 9v + -9v Combine like terms: -6v + -9v = -15v -36 + -15v = 9 + 9v + -9v Combine like terms: 9v + -9v = 0 -36 + -15v = 9 + 0 -36 + -15v = 9 Add '36' to each side of the equation. -36 + 36 + -15v = 9 + 36 Combine like terms: -36 + 36 = 0 0 + -15v = 9 + 36 -15v = 9 + 36 Combine like terms: 9 + 36 = 45 -15v = 45 Divide each side by '-15'. v = -3 Simplifying v = -3
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