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Simplifying 8(p + 2) = 1 + 3p Reorder the terms: 8(2 + p) = 1 + 3p (2 * 8 + p * 8) = 1 + 3p (16 + 8p) = 1 + 3p Solving 16 + 8p = 1 + 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. 16 + 8p + -3p = 1 + 3p + -3p Combine like terms: 8p + -3p = 5p 16 + 5p = 1 + 3p + -3p Combine like terms: 3p + -3p = 0 16 + 5p = 1 + 0 16 + 5p = 1 Add '-16' to each side of the equation. 16 + -16 + 5p = 1 + -16 Combine like terms: 16 + -16 = 0 0 + 5p = 1 + -16 5p = 1 + -16 Combine like terms: 1 + -16 = -15 5p = -15 Divide each side by '5'. p = -3 Simplifying p = -3
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