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Simplifying -2(v + -9) = 3v + 3 Reorder the terms: -2(-9 + v) = 3v + 3 (-9 * -2 + v * -2) = 3v + 3 (18 + -2v) = 3v + 3 Reorder the terms: 18 + -2v = 3 + 3v Solving 18 + -2v = 3 + 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. 18 + -2v + -3v = 3 + 3v + -3v Combine like terms: -2v + -3v = -5v 18 + -5v = 3 + 3v + -3v Combine like terms: 3v + -3v = 0 18 + -5v = 3 + 0 18 + -5v = 3 Add '-18' to each side of the equation. 18 + -18 + -5v = 3 + -18 Combine like terms: 18 + -18 = 0 0 + -5v = 3 + -18 -5v = 3 + -18 Combine like terms: 3 + -18 = -15 -5v = -15 Divide each side by '-5'. v = 3 Simplifying v = 3
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