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Simplifying -7p + 7 = 6 + -1(9p + 8) Reorder the terms: 7 + -7p = 6 + -1(9p + 8) Reorder the terms: 7 + -7p = 6 + -1(8 + 9p) 7 + -7p = 6 + (8 * -1 + 9p * -1) 7 + -7p = 6 + (-8 + -9p) Combine like terms: 6 + -8 = -2 7 + -7p = -2 + -9p Solving 7 + -7p = -2 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. 7 + -7p + 9p = -2 + -9p + 9p Combine like terms: -7p + 9p = 2p 7 + 2p = -2 + -9p + 9p Combine like terms: -9p + 9p = 0 7 + 2p = -2 + 0 7 + 2p = -2 Add '-7' to each side of the equation. 7 + -7 + 2p = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 2p = -2 + -7 2p = -2 + -7 Combine like terms: -2 + -7 = -9 2p = -9 Divide each side by '2'. p = -4.5 Simplifying p = -4.5
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