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Simplifying -10p + 20 = 10(11p + -10) Reorder the terms: 20 + -10p = 10(11p + -10) Reorder the terms: 20 + -10p = 10(-10 + 11p) 20 + -10p = (-10 * 10 + 11p * 10) 20 + -10p = (-100 + 110p) Solving 20 + -10p = -100 + 110p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-110p' to each side of the equation. 20 + -10p + -110p = -100 + 110p + -110p Combine like terms: -10p + -110p = -120p 20 + -120p = -100 + 110p + -110p Combine like terms: 110p + -110p = 0 20 + -120p = -100 + 0 20 + -120p = -100 Add '-20' to each side of the equation. 20 + -20 + -120p = -100 + -20 Combine like terms: 20 + -20 = 0 0 + -120p = -100 + -20 -120p = -100 + -20 Combine like terms: -100 + -20 = -120 -120p = -120 Divide each side by '-120'. p = 1 Simplifying p = 1
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