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Simplifying 24p + -66 = 3(3p + 43) Reorder the terms: -66 + 24p = 3(3p + 43) Reorder the terms: -66 + 24p = 3(43 + 3p) -66 + 24p = (43 * 3 + 3p * 3) -66 + 24p = (129 + 9p) Solving -66 + 24p = 129 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -66 + 24p + -9p = 129 + 9p + -9p Combine like terms: 24p + -9p = 15p -66 + 15p = 129 + 9p + -9p Combine like terms: 9p + -9p = 0 -66 + 15p = 129 + 0 -66 + 15p = 129 Add '66' to each side of the equation. -66 + 66 + 15p = 129 + 66 Combine like terms: -66 + 66 = 0 0 + 15p = 129 + 66 15p = 129 + 66 Combine like terms: 129 + 66 = 195 15p = 195 Divide each side by '15'. p = 13 Simplifying p = 13
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