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Simplifying -2 + -3(1 + -5p) = 10p + 10(10 + 11p) -2 + (1 * -3 + -5p * -3) = 10p + 10(10 + 11p) -2 + (-3 + 15p) = 10p + 10(10 + 11p) Combine like terms: -2 + -3 = -5 -5 + 15p = 10p + 10(10 + 11p) -5 + 15p = 10p + (10 * 10 + 11p * 10) -5 + 15p = 10p + (100 + 110p) Reorder the terms: -5 + 15p = 100 + 10p + 110p Combine like terms: 10p + 110p = 120p -5 + 15p = 100 + 120p Solving -5 + 15p = 100 + 120p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-120p' to each side of the equation. -5 + 15p + -120p = 100 + 120p + -120p Combine like terms: 15p + -120p = -105p -5 + -105p = 100 + 120p + -120p Combine like terms: 120p + -120p = 0 -5 + -105p = 100 + 0 -5 + -105p = 100 Add '5' to each side of the equation. -5 + 5 + -105p = 100 + 5 Combine like terms: -5 + 5 = 0 0 + -105p = 100 + 5 -105p = 100 + 5 Combine like terms: 100 + 5 = 105 -105p = 105 Divide each side by '-105'. p = -1 Simplifying p = -1
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