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Simplifying 6v + 45 = 9(v + 2) Reorder the terms: 45 + 6v = 9(v + 2) Reorder the terms: 45 + 6v = 9(2 + v) 45 + 6v = (2 * 9 + v * 9) 45 + 6v = (18 + 9v) Solving 45 + 6v = 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. 45 + 6v + -9v = 18 + 9v + -9v Combine like terms: 6v + -9v = -3v 45 + -3v = 18 + 9v + -9v Combine like terms: 9v + -9v = 0 45 + -3v = 18 + 0 45 + -3v = 18 Add '-45' to each side of the equation. 45 + -45 + -3v = 18 + -45 Combine like terms: 45 + -45 = 0 0 + -3v = 18 + -45 -3v = 18 + -45 Combine like terms: 18 + -45 = -27 -3v = -27 Divide each side by '-3'. v = 9 Simplifying v = 9
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