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Simplifying 33 + 3v = 6(v + 6) Reorder the terms: 33 + 3v = 6(6 + v) 33 + 3v = (6 * 6 + v * 6) 33 + 3v = (36 + 6v) Solving 33 + 3v = 36 + 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 = 36 + 6v + -6v Combine like terms: 3v + -6v = -3v 33 + -3v = 36 + 6v + -6v Combine like terms: 6v + -6v = 0 33 + -3v = 36 + 0 33 + -3v = 36 Add '-33' to each side of the equation. 33 + -33 + -3v = 36 + -33 Combine like terms: 33 + -33 = 0 0 + -3v = 36 + -33 -3v = 36 + -33 Combine like terms: 36 + -33 = 3 -3v = 3 Divide each side by '-3'. v = -1 Simplifying v = -1
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