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Simplifying 5(-5 + 7p) = 8p + 29 (-5 * 5 + 7p * 5) = 8p + 29 (-25 + 35p) = 8p + 29 Reorder the terms: -25 + 35p = 29 + 8p Solving -25 + 35p = 29 + 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. -25 + 35p + -8p = 29 + 8p + -8p Combine like terms: 35p + -8p = 27p -25 + 27p = 29 + 8p + -8p Combine like terms: 8p + -8p = 0 -25 + 27p = 29 + 0 -25 + 27p = 29 Add '25' to each side of the equation. -25 + 25 + 27p = 29 + 25 Combine like terms: -25 + 25 = 0 0 + 27p = 29 + 25 27p = 29 + 25 Combine like terms: 29 + 25 = 54 27p = 54 Divide each side by '27'. p = 2 Simplifying p = 2
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