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Simplifying 4859 = 43(p + 35) Reorder the terms: 4859 = 43(35 + p) 4859 = (35 * 43 + p * 43) 4859 = (1505 + 43p) Solving 4859 = 1505 + 43p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-43p' to each side of the equation. 4859 + -43p = 1505 + 43p + -43p Combine like terms: 43p + -43p = 0 4859 + -43p = 1505 + 0 4859 + -43p = 1505 Add '-4859' to each side of the equation. 4859 + -4859 + -43p = 1505 + -4859 Combine like terms: 4859 + -4859 = 0 0 + -43p = 1505 + -4859 -43p = 1505 + -4859 Combine like terms: 1505 + -4859 = -3354 -43p = -3354 Divide each side by '-43'. p = 78 Simplifying p = 78
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