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Simplifying 2p + 7 = 5 + -1(9p + -16) Reorder the terms: 7 + 2p = 5 + -1(9p + -16) Reorder the terms: 7 + 2p = 5 + -1(-16 + 9p) 7 + 2p = 5 + (-16 * -1 + 9p * -1) 7 + 2p = 5 + (16 + -9p) Combine like terms: 5 + 16 = 21 7 + 2p = 21 + -9p Solving 7 + 2p = 21 + -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 = 21 + -9p + 9p Combine like terms: 2p + 9p = 11p 7 + 11p = 21 + -9p + 9p Combine like terms: -9p + 9p = 0 7 + 11p = 21 + 0 7 + 11p = 21 Add '-7' to each side of the equation. 7 + -7 + 11p = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 11p = 21 + -7 11p = 21 + -7 Combine like terms: 21 + -7 = 14 11p = 14 Divide each side by '11'. p = 1.272727273 Simplifying p = 1.272727273
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