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Simplifying 2(v + 9) = 5v + 33 Reorder the terms: 2(9 + v) = 5v + 33 (9 * 2 + v * 2) = 5v + 33 (18 + 2v) = 5v + 33 Reorder the terms: 18 + 2v = 33 + 5v Solving 18 + 2v = 33 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 18 + 2v + -5v = 33 + 5v + -5v Combine like terms: 2v + -5v = -3v 18 + -3v = 33 + 5v + -5v Combine like terms: 5v + -5v = 0 18 + -3v = 33 + 0 18 + -3v = 33 Add '-18' to each side of the equation. 18 + -18 + -3v = 33 + -18 Combine like terms: 18 + -18 = 0 0 + -3v = 33 + -18 -3v = 33 + -18 Combine like terms: 33 + -18 = 15 -3v = 15 Divide each side by '-3'. v = -5 Simplifying v = -5
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