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Simplifying 7p + 5(5p + 1) = -23 + 4p Reorder the terms: 7p + 5(1 + 5p) = -23 + 4p 7p + (1 * 5 + 5p * 5) = -23 + 4p 7p + (5 + 25p) = -23 + 4p Reorder the terms: 5 + 7p + 25p = -23 + 4p Combine like terms: 7p + 25p = 32p 5 + 32p = -23 + 4p Solving 5 + 32p = -23 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 5 + 32p + -4p = -23 + 4p + -4p Combine like terms: 32p + -4p = 28p 5 + 28p = -23 + 4p + -4p Combine like terms: 4p + -4p = 0 5 + 28p = -23 + 0 5 + 28p = -23 Add '-5' to each side of the equation. 5 + -5 + 28p = -23 + -5 Combine like terms: 5 + -5 = 0 0 + 28p = -23 + -5 28p = -23 + -5 Combine like terms: -23 + -5 = -28 28p = -28 Divide each side by '28'. p = -1 Simplifying p = -1
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