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Simplifying 7(p + 10) = 9 + -1p Reorder the terms: 7(10 + p) = 9 + -1p (10 * 7 + p * 7) = 9 + -1p (70 + 7p) = 9 + -1p Solving 70 + 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. 70 + 7p + p = 9 + -1p + p Combine like terms: 7p + p = 8p 70 + 8p = 9 + -1p + p Combine like terms: -1p + p = 0 70 + 8p = 9 + 0 70 + 8p = 9 Add '-70' to each side of the equation. 70 + -70 + 8p = 9 + -70 Combine like terms: 70 + -70 = 0 0 + 8p = 9 + -70 8p = 9 + -70 Combine like terms: 9 + -70 = -61 8p = -61 Divide each side by '8'. p = -7.625 Simplifying p = -7.625
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