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Simplifying -6 + 7(1 + 1p) = 8p + 8 -6 + (1 * 7 + 1p * 7) = 8p + 8 -6 + (7 + 7p) = 8p + 8 Combine like terms: -6 + 7 = 1 1 + 7p = 8p + 8 Reorder the terms: 1 + 7p = 8 + 8p Solving 1 + 7p = 8 + 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. 1 + 7p + -8p = 8 + 8p + -8p Combine like terms: 7p + -8p = -1p 1 + -1p = 8 + 8p + -8p Combine like terms: 8p + -8p = 0 1 + -1p = 8 + 0 1 + -1p = 8 Add '-1' to each side of the equation. 1 + -1 + -1p = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -1p = 8 + -1 -1p = 8 + -1 Combine like terms: 8 + -1 = 7 -1p = 7 Divide each side by '-1'. p = -7 Simplifying p = -7
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