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Simplifying 7 + p = 8 + 8(7 + -7p) 7 + p = 8 + (7 * 8 + -7p * 8) 7 + p = 8 + (56 + -56p) Combine like terms: 8 + 56 = 64 7 + p = 64 + -56p Solving 7 + p = 64 + -56p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '56p' to each side of the equation. 7 + p + 56p = 64 + -56p + 56p Combine like terms: p + 56p = 57p 7 + 57p = 64 + -56p + 56p Combine like terms: -56p + 56p = 0 7 + 57p = 64 + 0 7 + 57p = 64 Add '-7' to each side of the equation. 7 + -7 + 57p = 64 + -7 Combine like terms: 7 + -7 = 0 0 + 57p = 64 + -7 57p = 64 + -7 Combine like terms: 64 + -7 = 57 57p = 57 Divide each side by '57'. p = 1 Simplifying p = 1
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