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Simplifying 7[p + 1] = 9 + -1p Reorder the terms: 7[1 + p] = 9 + -1p [1 * 7 + p * 7] = 9 + -1p [7 + 7p] = 9 + -1p Solving 7 + 7p = 9 + -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. 7 + 7p + p = 9 + -1p + p Combine like terms: 7p + p = 8p 7 + 8p = 9 + -1p + p Combine like terms: -1p + p = 0 7 + 8p = 9 + 0 7 + 8p = 9 Add '-7' to each side of the equation. 7 + -7 + 8p = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 8p = 9 + -7 8p = 9 + -7 Combine like terms: 9 + -7 = 2 8p = 2 Divide each side by '8'. p = 0.25 Simplifying p = 0.25
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