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