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Simplifying 4(5p + 6) + p = 129 Reorder the terms: 4(6 + 5p) + p = 129 (6 * 4 + 5p * 4) + p = 129 (24 + 20p) + p = 129 Combine like terms: 20p + p = 21p 24 + 21p = 129 Solving 24 + 21p = 129 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 21p = 129 + -24 Combine like terms: 24 + -24 = 0 0 + 21p = 129 + -24 21p = 129 + -24 Combine like terms: 129 + -24 = 105 21p = 105 Divide each side by '21'. p = 5 Simplifying p = 5
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