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Simplifying 2106 = 15(p + 39) Reorder the terms: 2106 = 15(39 + p) 2106 = (39 * 15 + p * 15) 2106 = (585 + 15p) Solving 2106 = 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. 2106 + -15p = 585 + 15p + -15p Combine like terms: 15p + -15p = 0 2106 + -15p = 585 + 0 2106 + -15p = 585 Add '-2106' to each side of the equation. 2106 + -2106 + -15p = 585 + -2106 Combine like terms: 2106 + -2106 = 0 0 + -15p = 585 + -2106 -15p = 585 + -2106 Combine like terms: 585 + -2106 = -1521 -15p = -1521 Divide each side by '-15'. p = 101.4 Simplifying p = 101.4
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