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Simplifying 42(p + 30) = 4284 Reorder the terms: 42(30 + p) = 4284 (30 * 42 + p * 42) = 4284 (1260 + 42p) = 4284 Solving 1260 + 42p = 4284 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1260' to each side of the equation. 1260 + -1260 + 42p = 4284 + -1260 Combine like terms: 1260 + -1260 = 0 0 + 42p = 4284 + -1260 42p = 4284 + -1260 Combine like terms: 4284 + -1260 = 3024 42p = 3024 Divide each side by '42'. p = 72 Simplifying p = 72
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