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Simplifying 2(v + 3) + -5v = 33 Reorder the terms: 2(3 + v) + -5v = 33 (3 * 2 + v * 2) + -5v = 33 (6 + 2v) + -5v = 33 Combine like terms: 2v + -5v = -3v 6 + -3v = 33 Solving 6 + -3v = 33 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -3v = 33 + -6 Combine like terms: 6 + -6 = 0 0 + -3v = 33 + -6 -3v = 33 + -6 Combine like terms: 33 + -6 = 27 -3v = 27 Divide each side by '-3'. v = -9 Simplifying v = -9
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