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Simplifying 819 = 21(p + 10) Reorder the terms: 819 = 21(10 + p) 819 = (10 * 21 + p * 21) 819 = (210 + 21p) Solving 819 = 210 + 21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21p' to each side of the equation. 819 + -21p = 210 + 21p + -21p Combine like terms: 21p + -21p = 0 819 + -21p = 210 + 0 819 + -21p = 210 Add '-819' to each side of the equation. 819 + -819 + -21p = 210 + -819 Combine like terms: 819 + -819 = 0 0 + -21p = 210 + -819 -21p = 210 + -819 Combine like terms: 210 + -819 = -609 -21p = -609 Divide each side by '-21'. p = 29 Simplifying p = 29
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