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Simplifying 8p + 36 = 6(p + 7) Reorder the terms: 36 + 8p = 6(p + 7) Reorder the terms: 36 + 8p = 6(7 + p) 36 + 8p = (7 * 6 + p * 6) 36 + 8p = (42 + 6p) Solving 36 + 8p = 42 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 36 + 8p + -6p = 42 + 6p + -6p Combine like terms: 8p + -6p = 2p 36 + 2p = 42 + 6p + -6p Combine like terms: 6p + -6p = 0 36 + 2p = 42 + 0 36 + 2p = 42 Add '-36' to each side of the equation. 36 + -36 + 2p = 42 + -36 Combine like terms: 36 + -36 = 0 0 + 2p = 42 + -36 2p = 42 + -36 Combine like terms: 42 + -36 = 6 2p = 6 Divide each side by '2'. p = 3 Simplifying p = 3
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