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Simplifying -3v + 33 = 6(v + 4) Reorder the terms: 33 + -3v = 6(v + 4) Reorder the terms: 33 + -3v = 6(4 + v) 33 + -3v = (4 * 6 + v * 6) 33 + -3v = (24 + 6v) Solving 33 + -3v = 24 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 33 + -3v + -6v = 24 + 6v + -6v Combine like terms: -3v + -6v = -9v 33 + -9v = 24 + 6v + -6v Combine like terms: 6v + -6v = 0 33 + -9v = 24 + 0 33 + -9v = 24 Add '-33' to each side of the equation. 33 + -33 + -9v = 24 + -33 Combine like terms: 33 + -33 = 0 0 + -9v = 24 + -33 -9v = 24 + -33 Combine like terms: 24 + -33 = -9 -9v = -9 Divide each side by '-9'. v = 1 Simplifying v = 1
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