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Simplifying 5 + 7(p + 8) = 25 + -5p Reorder the terms: 5 + 7(8 + p) = 25 + -5p 5 + (8 * 7 + p * 7) = 25 + -5p 5 + (56 + 7p) = 25 + -5p Combine like terms: 5 + 56 = 61 61 + 7p = 25 + -5p Solving 61 + 7p = 25 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. 61 + 7p + 5p = 25 + -5p + 5p Combine like terms: 7p + 5p = 12p 61 + 12p = 25 + -5p + 5p Combine like terms: -5p + 5p = 0 61 + 12p = 25 + 0 61 + 12p = 25 Add '-61' to each side of the equation. 61 + -61 + 12p = 25 + -61 Combine like terms: 61 + -61 = 0 0 + 12p = 25 + -61 12p = 25 + -61 Combine like terms: 25 + -61 = -36 12p = -36 Divide each side by '12'. p = -3 Simplifying p = -3
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