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Simplifying 36 + 8p = 7(p + 6) Reorder the terms: 36 + 8p = 7(6 + p) 36 + 8p = (6 * 7 + p * 7) 36 + 8p = (42 + 7p) Solving 36 + 8p = 42 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 36 + 8p + -7p = 42 + 7p + -7p Combine like terms: 8p + -7p = 1p 36 + 1p = 42 + 7p + -7p Combine like terms: 7p + -7p = 0 36 + 1p = 42 + 0 36 + 1p = 42 Add '-36' to each side of the equation. 36 + -36 + 1p = 42 + -36 Combine like terms: 36 + -36 = 0 0 + 1p = 42 + -36 1p = 42 + -36 Combine like terms: 42 + -36 = 6 1p = 6 Divide each side by '1'. p = 6 Simplifying p = 6
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