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Simplifying 5(6p + 6) = -14 + 8p Reorder the terms: 5(6 + 6p) = -14 + 8p (6 * 5 + 6p * 5) = -14 + 8p (30 + 30p) = -14 + 8p Solving 30 + 30p = -14 + 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. 30 + 30p + -8p = -14 + 8p + -8p Combine like terms: 30p + -8p = 22p 30 + 22p = -14 + 8p + -8p Combine like terms: 8p + -8p = 0 30 + 22p = -14 + 0 30 + 22p = -14 Add '-30' to each side of the equation. 30 + -30 + 22p = -14 + -30 Combine like terms: 30 + -30 = 0 0 + 22p = -14 + -30 22p = -14 + -30 Combine like terms: -14 + -30 = -44 22p = -44 Divide each side by '22'. p = -2 Simplifying p = -2
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