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Simplifying 9v + 33 = 3(v + 5) Reorder the terms: 33 + 9v = 3(v + 5) Reorder the terms: 33 + 9v = 3(5 + v) 33 + 9v = (5 * 3 + v * 3) 33 + 9v = (15 + 3v) Solving 33 + 9v = 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 + 9v + -3v = 15 + 3v + -3v Combine like terms: 9v + -3v = 6v 33 + 6v = 15 + 3v + -3v Combine like terms: 3v + -3v = 0 33 + 6v = 15 + 0 33 + 6v = 15 Add '-33' to each side of the equation. 33 + -33 + 6v = 15 + -33 Combine like terms: 33 + -33 = 0 0 + 6v = 15 + -33 6v = 15 + -33 Combine like terms: 15 + -33 = -18 6v = -18 Divide each side by '6'. v = -3 Simplifying v = -3
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