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Simplifying -2p + 7 = 5 + -1(9p + 6) Reorder the terms: 7 + -2p = 5 + -1(9p + 6) Reorder the terms: 7 + -2p = 5 + -1(6 + 9p) 7 + -2p = 5 + (6 * -1 + 9p * -1) 7 + -2p = 5 + (-6 + -9p) Combine like terms: 5 + -6 = -1 7 + -2p = -1 + -9p Solving 7 + -2p = -1 + -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 + -2p + 9p = -1 + -9p + 9p Combine like terms: -2p + 9p = 7p 7 + 7p = -1 + -9p + 9p Combine like terms: -9p + 9p = 0 7 + 7p = -1 + 0 7 + 7p = -1 Add '-7' to each side of the equation. 7 + -7 + 7p = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 7p = -1 + -7 7p = -1 + -7 Combine like terms: -1 + -7 = -8 7p = -8 Divide each side by '7'. p = -1.142857143 Simplifying p = -1.142857143
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