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Simplifying 3(v + 9) = 42 Reorder the terms: 3(9 + v) = 42 (9 * 3 + v * 3) = 42 (27 + 3v) = 42 Solving 27 + 3v = 42 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 3v = 42 + -27 Combine like terms: 27 + -27 = 0 0 + 3v = 42 + -27 3v = 42 + -27 Combine like terms: 42 + -27 = 15 3v = 15 Divide each side by '3'. v = 5 Simplifying v = 5
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