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Simplifying 5(7p + 8) = -14 + 8p Reorder the terms: 5(8 + 7p) = -14 + 8p (8 * 5 + 7p * 5) = -14 + 8p (40 + 35p) = -14 + 8p Solving 40 + 35p = -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. 40 + 35p + -8p = -14 + 8p + -8p Combine like terms: 35p + -8p = 27p 40 + 27p = -14 + 8p + -8p Combine like terms: 8p + -8p = 0 40 + 27p = -14 + 0 40 + 27p = -14 Add '-40' to each side of the equation. 40 + -40 + 27p = -14 + -40 Combine like terms: 40 + -40 = 0 0 + 27p = -14 + -40 27p = -14 + -40 Combine like terms: -14 + -40 = -54 27p = -54 Divide each side by '27'. p = -2 Simplifying p = -2
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