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Simplifying 8(7p + 1) = 8 + 3p Reorder the terms: 8(1 + 7p) = 8 + 3p (1 * 8 + 7p * 8) = 8 + 3p (8 + 56p) = 8 + 3p Add '-8' to each side of the equation. 8 + -8 + 56p = 8 + -8 + 3p Combine like terms: 8 + -8 = 0 0 + 56p = 8 + -8 + 3p 56p = 8 + -8 + 3p Combine like terms: 8 + -8 = 0 56p = 0 + 3p 56p = 3p Solving 56p = 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 56p + -3p = 3p + -3p Combine like terms: 56p + -3p = 53p 53p = 3p + -3p Combine like terms: 3p + -3p = 0 53p = 0 Divide each side by '53'. p = 0 Simplifying p = 0
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