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Simplifying 36 + p = 7(p + 6) Reorder the terms: 36 + p = 7(6 + p) 36 + p = (6 * 7 + p * 7) 36 + p = (42 + 7p) Solving 36 + p = 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 + p + -7p = 42 + 7p + -7p Combine like terms: p + -7p = -6p 36 + -6p = 42 + 7p + -7p Combine like terms: 7p + -7p = 0 36 + -6p = 42 + 0 36 + -6p = 42 Add '-36' to each side of the equation. 36 + -36 + -6p = 42 + -36 Combine like terms: 36 + -36 = 0 0 + -6p = 42 + -36 -6p = 42 + -36 Combine like terms: 42 + -36 = 6 -6p = 6 Divide each side by '-6'. p = -1 Simplifying p = -1
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