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Simplifying 3v + 36 = 9(v + 2) Reorder the terms: 36 + 3v = 9(v + 2) Reorder the terms: 36 + 3v = 9(2 + v) 36 + 3v = (2 * 9 + v * 9) 36 + 3v = (18 + 9v) Solving 36 + 3v = 18 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 36 + 3v + -9v = 18 + 9v + -9v Combine like terms: 3v + -9v = -6v 36 + -6v = 18 + 9v + -9v Combine like terms: 9v + -9v = 0 36 + -6v = 18 + 0 36 + -6v = 18 Add '-36' to each side of the equation. 36 + -36 + -6v = 18 + -36 Combine like terms: 36 + -36 = 0 0 + -6v = 18 + -36 -6v = 18 + -36 Combine like terms: 18 + -36 = -18 -6v = -18 Divide each side by '-6'. v = 3 Simplifying v = 3
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