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Simplifying 6(P + 24) = 414 Reorder the terms: 6(24 + P) = 414 (24 * 6 + P * 6) = 414 (144 + 6P) = 414 Solving 144 + 6P = 414 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-144' to each side of the equation. 144 + -144 + 6P = 414 + -144 Combine like terms: 144 + -144 = 0 0 + 6P = 414 + -144 6P = 414 + -144 Combine like terms: 414 + -144 = 270 6P = 270 Divide each side by '6'. P = 45 Simplifying P = 45
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