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Simplifying 40 = 8(2p + 5) Reorder the terms: 40 = 8(5 + 2p) 40 = (5 * 8 + 2p * 8) 40 = (40 + 16p) Add '-40' to each side of the equation. 40 + -40 = 40 + -40 + 16p Combine like terms: 40 + -40 = 0 0 = 40 + -40 + 16p Combine like terms: 40 + -40 = 0 0 = 0 + 16p 0 = 16p Solving 0 = 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. 0 + -16p = 16p + -16p Remove the zero: -16p = 16p + -16p Combine like terms: 16p + -16p = 0 -16p = 0 Divide each side by '-16'. p = 0 Simplifying p = 0
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