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Simplifying -3(4 + -8v) = 33 + 3v (4 * -3 + -8v * -3) = 33 + 3v (-12 + 24v) = 33 + 3v Solving -12 + 24v = 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. -12 + 24v + -3v = 33 + 3v + -3v Combine like terms: 24v + -3v = 21v -12 + 21v = 33 + 3v + -3v Combine like terms: 3v + -3v = 0 -12 + 21v = 33 + 0 -12 + 21v = 33 Add '12' to each side of the equation. -12 + 12 + 21v = 33 + 12 Combine like terms: -12 + 12 = 0 0 + 21v = 33 + 12 21v = 33 + 12 Combine like terms: 33 + 12 = 45 21v = 45 Divide each side by '21'. v = 2.142857143 Simplifying v = 2.142857143
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