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Simplifying 3v + -6(2 + -3v) = 33 + 6v 3v + (2 * -6 + -3v * -6) = 33 + 6v 3v + (-12 + 18v) = 33 + 6v Reorder the terms: -12 + 3v + 18v = 33 + 6v Combine like terms: 3v + 18v = 21v -12 + 21v = 33 + 6v Solving -12 + 21v = 33 + 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. -12 + 21v + -6v = 33 + 6v + -6v Combine like terms: 21v + -6v = 15v -12 + 15v = 33 + 6v + -6v Combine like terms: 6v + -6v = 0 -12 + 15v = 33 + 0 -12 + 15v = 33 Add '12' to each side of the equation. -12 + 12 + 15v = 33 + 12 Combine like terms: -12 + 12 = 0 0 + 15v = 33 + 12 15v = 33 + 12 Combine like terms: 33 + 12 = 45 15v = 45 Divide each side by '15'. v = 3 Simplifying v = 3
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