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Simplifying 2v + -33 = -3(v + 6) Reorder the terms: -33 + 2v = -3(v + 6) Reorder the terms: -33 + 2v = -3(6 + v) -33 + 2v = (6 * -3 + v * -3) -33 + 2v = (-18 + -3v) Solving -33 + 2v = -18 + -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. -33 + 2v + 3v = -18 + -3v + 3v Combine like terms: 2v + 3v = 5v -33 + 5v = -18 + -3v + 3v Combine like terms: -3v + 3v = 0 -33 + 5v = -18 + 0 -33 + 5v = -18 Add '33' to each side of the equation. -33 + 33 + 5v = -18 + 33 Combine like terms: -33 + 33 = 0 0 + 5v = -18 + 33 5v = -18 + 33 Combine like terms: -18 + 33 = 15 5v = 15 Divide each side by '5'. v = 3 Simplifying v = 3
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