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Simplifying 5(p + 4) = 25 + (7 + -1p) Reorder the terms: 5(4 + p) = 25 + (7 + -1p) (4 * 5 + p * 5) = 25 + (7 + -1p) (20 + 5p) = 25 + (7 + -1p) Remove parenthesis around (7 + -1p) 20 + 5p = 25 + 7 + -1p Combine like terms: 25 + 7 = 32 20 + 5p = 32 + -1p Solving 20 + 5p = 32 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 20 + 5p + p = 32 + -1p + p Combine like terms: 5p + p = 6p 20 + 6p = 32 + -1p + p Combine like terms: -1p + p = 0 20 + 6p = 32 + 0 20 + 6p = 32 Add '-20' to each side of the equation. 20 + -20 + 6p = 32 + -20 Combine like terms: 20 + -20 = 0 0 + 6p = 32 + -20 6p = 32 + -20 Combine like terms: 32 + -20 = 12 6p = 12 Divide each side by '6'. p = 2 Simplifying p = 2
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