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Simplifying 27(p + 35) = 3078 Reorder the terms: 27(35 + p) = 3078 (35 * 27 + p * 27) = 3078 (945 + 27p) = 3078 Solving 945 + 27p = 3078 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-945' to each side of the equation. 945 + -945 + 27p = 3078 + -945 Combine like terms: 945 + -945 = 0 0 + 27p = 3078 + -945 27p = 3078 + -945 Combine like terms: 3078 + -945 = 2133 27p = 2133 Divide each side by '27'. p = 79 Simplifying p = 79
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