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Simplifying 145 = -7 + 8(2p + 7) Reorder the terms: 145 = -7 + 8(7 + 2p) 145 = -7 + (7 * 8 + 2p * 8) 145 = -7 + (56 + 16p) Combine like terms: -7 + 56 = 49 145 = 49 + 16p Solving 145 = 49 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. 145 + -16p = 49 + 16p + -16p Combine like terms: 16p + -16p = 0 145 + -16p = 49 + 0 145 + -16p = 49 Add '-145' to each side of the equation. 145 + -145 + -16p = 49 + -145 Combine like terms: 145 + -145 = 0 0 + -16p = 49 + -145 -16p = 49 + -145 Combine like terms: 49 + -145 = -96 -16p = -96 Divide each side by '-16'. p = 6 Simplifying p = 6
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