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Simplifying 1833 = 15(p + 39) Reorder the terms: 1833 = 15(39 + p) 1833 = (39 * 15 + p * 15) 1833 = (585 + 15p) Solving 1833 = 585 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. 1833 + -15p = 585 + 15p + -15p Combine like terms: 15p + -15p = 0 1833 + -15p = 585 + 0 1833 + -15p = 585 Add '-1833' to each side of the equation. 1833 + -1833 + -15p = 585 + -1833 Combine like terms: 1833 + -1833 = 0 0 + -15p = 585 + -1833 -15p = 585 + -1833 Combine like terms: 585 + -1833 = -1248 -15p = -1248 Divide each side by '-15'. p = 83.2 Simplifying p = 83.2
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