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Simplifying 1701 = 21(p + 30) Reorder the terms: 1701 = 21(30 + p) 1701 = (30 * 21 + p * 21) 1701 = (630 + 21p) Solving 1701 = 630 + 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. 1701 + -21p = 630 + 21p + -21p Combine like terms: 21p + -21p = 0 1701 + -21p = 630 + 0 1701 + -21p = 630 Add '-1701' to each side of the equation. 1701 + -1701 + -21p = 630 + -1701 Combine like terms: 1701 + -1701 = 0 0 + -21p = 630 + -1701 -21p = 630 + -1701 Combine like terms: 630 + -1701 = -1071 -21p = -1071 Divide each side by '-21'. p = 51 Simplifying p = 51
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