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Simplifying 5074 = 43(p + 30) Reorder the terms: 5074 = 43(30 + p) 5074 = (30 * 43 + p * 43) 5074 = (1290 + 43p) Solving 5074 = 1290 + 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. 5074 + -43p = 1290 + 43p + -43p Combine like terms: 43p + -43p = 0 5074 + -43p = 1290 + 0 5074 + -43p = 1290 Add '-5074' to each side of the equation. 5074 + -5074 + -43p = 1290 + -5074 Combine like terms: 5074 + -5074 = 0 0 + -43p = 1290 + -5074 -43p = 1290 + -5074 Combine like terms: 1290 + -5074 = -3784 -43p = -3784 Divide each side by '-43'. p = 88 Simplifying p = 88
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