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Simplifying 8p + 40 = 8(2p + 4) Reorder the terms: 40 + 8p = 8(2p + 4) Reorder the terms: 40 + 8p = 8(4 + 2p) 40 + 8p = (4 * 8 + 2p * 8) 40 + 8p = (32 + 16p) Solving 40 + 8p = 32 + 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. 40 + 8p + -16p = 32 + 16p + -16p Combine like terms: 8p + -16p = -8p 40 + -8p = 32 + 16p + -16p Combine like terms: 16p + -16p = 0 40 + -8p = 32 + 0 40 + -8p = 32 Add '-40' to each side of the equation. 40 + -40 + -8p = 32 + -40 Combine like terms: 40 + -40 = 0 0 + -8p = 32 + -40 -8p = 32 + -40 Combine like terms: 32 + -40 = -8 -8p = -8 Divide each side by '-8'. p = 1 Simplifying p = 1
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