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Simplifying 8p + 1 = 3(p + -8) Reorder the terms: 1 + 8p = 3(p + -8) Reorder the terms: 1 + 8p = 3(-8 + p) 1 + 8p = (-8 * 3 + p * 3) 1 + 8p = (-24 + 3p) Solving 1 + 8p = -24 + 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. 1 + 8p + -3p = -24 + 3p + -3p Combine like terms: 8p + -3p = 5p 1 + 5p = -24 + 3p + -3p Combine like terms: 3p + -3p = 0 1 + 5p = -24 + 0 1 + 5p = -24 Add '-1' to each side of the equation. 1 + -1 + 5p = -24 + -1 Combine like terms: 1 + -1 = 0 0 + 5p = -24 + -1 5p = -24 + -1 Combine like terms: -24 + -1 = -25 5p = -25 Divide each side by '5'. p = -5 Simplifying p = -5
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