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Simplifying -6(v + -9) = 3v + 36 Reorder the terms: -6(-9 + v) = 3v + 36 (-9 * -6 + v * -6) = 3v + 36 (54 + -6v) = 3v + 36 Reorder the terms: 54 + -6v = 36 + 3v Solving 54 + -6v = 36 + 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. 54 + -6v + -3v = 36 + 3v + -3v Combine like terms: -6v + -3v = -9v 54 + -9v = 36 + 3v + -3v Combine like terms: 3v + -3v = 0 54 + -9v = 36 + 0 54 + -9v = 36 Add '-54' to each side of the equation. 54 + -54 + -9v = 36 + -54 Combine like terms: 54 + -54 = 0 0 + -9v = 36 + -54 -9v = 36 + -54 Combine like terms: 36 + -54 = -18 -9v = -18 Divide each side by '-9'. v = 2 Simplifying v = 2
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