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Simplifying 162 = 6(3v + 6) Reorder the terms: 162 = 6(6 + 3v) 162 = (6 * 6 + 3v * 6) 162 = (36 + 18v) Solving 162 = 36 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. 162 + -18v = 36 + 18v + -18v Combine like terms: 18v + -18v = 0 162 + -18v = 36 + 0 162 + -18v = 36 Add '-162' to each side of the equation. 162 + -162 + -18v = 36 + -162 Combine like terms: 162 + -162 = 0 0 + -18v = 36 + -162 -18v = 36 + -162 Combine like terms: 36 + -162 = -126 -18v = -126 Divide each side by '-18'. v = 7 Simplifying v = 7
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