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