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Simplifying -3(-9v + 3) + -3v = 6(v + -2) + -5 Reorder the terms: -3(3 + -9v) + -3v = 6(v + -2) + -5 (3 * -3 + -9v * -3) + -3v = 6(v + -2) + -5 (-9 + 27v) + -3v = 6(v + -2) + -5 Combine like terms: 27v + -3v = 24v -9 + 24v = 6(v + -2) + -5 Reorder the terms: -9 + 24v = 6(-2 + v) + -5 -9 + 24v = (-2 * 6 + v * 6) + -5 -9 + 24v = (-12 + 6v) + -5 Reorder the terms: -9 + 24v = -12 + -5 + 6v Combine like terms: -12 + -5 = -17 -9 + 24v = -17 + 6v Solving -9 + 24v = -17 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -9 + 24v + -6v = -17 + 6v + -6v Combine like terms: 24v + -6v = 18v -9 + 18v = -17 + 6v + -6v Combine like terms: 6v + -6v = 0 -9 + 18v = -17 + 0 -9 + 18v = -17 Add '9' to each side of the equation. -9 + 9 + 18v = -17 + 9 Combine like terms: -9 + 9 = 0 0 + 18v = -17 + 9 18v = -17 + 9 Combine like terms: -17 + 9 = -8 18v = -8 Divide each side by '18'. v = -0.4444444444 Simplifying v = -0.4444444444
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