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Simplifying 8p + 3(1 + 5p) = -27 + 8p 8p + (1 * 3 + 5p * 3) = -27 + 8p 8p + (3 + 15p) = -27 + 8p Reorder the terms: 3 + 8p + 15p = -27 + 8p Combine like terms: 8p + 15p = 23p 3 + 23p = -27 + 8p Solving 3 + 23p = -27 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 3 + 23p + -8p = -27 + 8p + -8p Combine like terms: 23p + -8p = 15p 3 + 15p = -27 + 8p + -8p Combine like terms: 8p + -8p = 0 3 + 15p = -27 + 0 3 + 15p = -27 Add '-3' to each side of the equation. 3 + -3 + 15p = -27 + -3 Combine like terms: 3 + -3 = 0 0 + 15p = -27 + -3 15p = -27 + -3 Combine like terms: -27 + -3 = -30 15p = -30 Divide each side by '15'. p = -2 Simplifying p = -2
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