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Simplifying 6(5p + 3) = -26 + 8p Reorder the terms: 6(3 + 5p) = -26 + 8p (3 * 6 + 5p * 6) = -26 + 8p (18 + 30p) = -26 + 8p Solving 18 + 30p = -26 + 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. 18 + 30p + -8p = -26 + 8p + -8p Combine like terms: 30p + -8p = 22p 18 + 22p = -26 + 8p + -8p Combine like terms: 8p + -8p = 0 18 + 22p = -26 + 0 18 + 22p = -26 Add '-18' to each side of the equation. 18 + -18 + 22p = -26 + -18 Combine like terms: 18 + -18 = 0 0 + 22p = -26 + -18 22p = -26 + -18 Combine like terms: -26 + -18 = -44 22p = -44 Divide each side by '22'. p = -2 Simplifying p = -2
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