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Simplifying 1 + 8p = -7(p + 2) Reorder the terms: 1 + 8p = -7(2 + p) 1 + 8p = (2 * -7 + p * -7) 1 + 8p = (-14 + -7p) Solving 1 + 8p = -14 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. 1 + 8p + 7p = -14 + -7p + 7p Combine like terms: 8p + 7p = 15p 1 + 15p = -14 + -7p + 7p Combine like terms: -7p + 7p = 0 1 + 15p = -14 + 0 1 + 15p = -14 Add '-1' to each side of the equation. 1 + -1 + 15p = -14 + -1 Combine like terms: 1 + -1 = 0 0 + 15p = -14 + -1 15p = -14 + -1 Combine like terms: -14 + -1 = -15 15p = -15 Divide each side by '15'. p = -1 Simplifying p = -1
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