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Simplifying 152 = 8(2p + 7) Reorder the terms: 152 = 8(7 + 2p) 152 = (7 * 8 + 2p * 8) 152 = (56 + 16p) Solving 152 = 56 + 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. 152 + -16p = 56 + 16p + -16p Combine like terms: 16p + -16p = 0 152 + -16p = 56 + 0 152 + -16p = 56 Add '-152' to each side of the equation. 152 + -152 + -16p = 56 + -152 Combine like terms: 152 + -152 = 0 0 + -16p = 56 + -152 -16p = 56 + -152 Combine like terms: 56 + -152 = -96 -16p = -96 Divide each side by '-16'. p = 6 Simplifying p = 6
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