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Simplifying 6v + 18 = 9(v + 1) Reorder the terms: 18 + 6v = 9(v + 1) Reorder the terms: 18 + 6v = 9(1 + v) 18 + 6v = (1 * 9 + v * 9) 18 + 6v = (9 + 9v) Solving 18 + 6v = 9 + 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. 18 + 6v + -9v = 9 + 9v + -9v Combine like terms: 6v + -9v = -3v 18 + -3v = 9 + 9v + -9v Combine like terms: 9v + -9v = 0 18 + -3v = 9 + 0 18 + -3v = 9 Add '-18' to each side of the equation. 18 + -18 + -3v = 9 + -18 Combine like terms: 18 + -18 = 0 0 + -3v = 9 + -18 -3v = 9 + -18 Combine like terms: 9 + -18 = -9 -3v = -9 Divide each side by '-3'. v = 3 Simplifying v = 3
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