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Simplifying -3(v + -3) = 3v + -33 Reorder the terms: -3(-3 + v) = 3v + -33 (-3 * -3 + v * -3) = 3v + -33 (9 + -3v) = 3v + -33 Reorder the terms: 9 + -3v = -33 + 3v Solving 9 + -3v = -33 + 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. 9 + -3v + -3v = -33 + 3v + -3v Combine like terms: -3v + -3v = -6v 9 + -6v = -33 + 3v + -3v Combine like terms: 3v + -3v = 0 9 + -6v = -33 + 0 9 + -6v = -33 Add '-9' to each side of the equation. 9 + -9 + -6v = -33 + -9 Combine like terms: 9 + -9 = 0 0 + -6v = -33 + -9 -6v = -33 + -9 Combine like terms: -33 + -9 = -42 -6v = -42 Divide each side by '-6'. v = 7 Simplifying v = 7
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