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Simplifying 36 + 8v = 6(v + 9) Reorder the terms: 36 + 8v = 6(9 + v) 36 + 8v = (9 * 6 + v * 6) 36 + 8v = (54 + 6v) Solving 36 + 8v = 54 + 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. 36 + 8v + -6v = 54 + 6v + -6v Combine like terms: 8v + -6v = 2v 36 + 2v = 54 + 6v + -6v Combine like terms: 6v + -6v = 0 36 + 2v = 54 + 0 36 + 2v = 54 Add '-36' to each side of the equation. 36 + -36 + 2v = 54 + -36 Combine like terms: 36 + -36 = 0 0 + 2v = 54 + -36 2v = 54 + -36 Combine like terms: 54 + -36 = 18 2v = 18 Divide each side by '2'. v = 9 Simplifying v = 9
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