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Simplifying 1428 = 21(p + 15) Reorder the terms: 1428 = 21(15 + p) 1428 = (15 * 21 + p * 21) 1428 = (315 + 21p) Solving 1428 = 315 + 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. 1428 + -21p = 315 + 21p + -21p Combine like terms: 21p + -21p = 0 1428 + -21p = 315 + 0 1428 + -21p = 315 Add '-1428' to each side of the equation. 1428 + -1428 + -21p = 315 + -1428 Combine like terms: 1428 + -1428 = 0 0 + -21p = 315 + -1428 -21p = 315 + -1428 Combine like terms: 315 + -1428 = -1113 -21p = -1113 Divide each side by '-21'. p = 53 Simplifying p = 53
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