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Simplifying 127 = p + 7(p + 9) Reorder the terms: 127 = p + 7(9 + p) 127 = p + (9 * 7 + p * 7) 127 = p + (63 + 7p) Reorder the terms: 127 = 63 + p + 7p Combine like terms: p + 7p = 8p 127 = 63 + 8p Solving 127 = 63 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 127 + -8p = 63 + 8p + -8p Combine like terms: 8p + -8p = 0 127 + -8p = 63 + 0 127 + -8p = 63 Add '-127' to each side of the equation. 127 + -127 + -8p = 63 + -127 Combine like terms: 127 + -127 = 0 0 + -8p = 63 + -127 -8p = 63 + -127 Combine like terms: 63 + -127 = -64 -8p = -64 Divide each side by '-8'. p = 8 Simplifying p = 8
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