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Simplifying 8p + 10p + -36 = 24 + 3p + 5 Reorder the terms: -36 + 8p + 10p = 24 + 3p + 5 Combine like terms: 8p + 10p = 18p -36 + 18p = 24 + 3p + 5 Reorder the terms: -36 + 18p = 24 + 5 + 3p Combine like terms: 24 + 5 = 29 -36 + 18p = 29 + 3p Solving -36 + 18p = 29 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -36 + 18p + -3p = 29 + 3p + -3p Combine like terms: 18p + -3p = 15p -36 + 15p = 29 + 3p + -3p Combine like terms: 3p + -3p = 0 -36 + 15p = 29 + 0 -36 + 15p = 29 Add '36' to each side of the equation. -36 + 36 + 15p = 29 + 36 Combine like terms: -36 + 36 = 0 0 + 15p = 29 + 36 15p = 29 + 36 Combine like terms: 29 + 36 = 65 15p = 65 Divide each side by '15'. p = 4.333333333 Simplifying p = 4.333333333
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