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Simplifying 18p + 19 = 15p + 31 Reorder the terms: 19 + 18p = 15p + 31 Reorder the terms: 19 + 18p = 31 + 15p Solving 19 + 18p = 31 + 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. 19 + 18p + -15p = 31 + 15p + -15p Combine like terms: 18p + -15p = 3p 19 + 3p = 31 + 15p + -15p Combine like terms: 15p + -15p = 0 19 + 3p = 31 + 0 19 + 3p = 31 Add '-19' to each side of the equation. 19 + -19 + 3p = 31 + -19 Combine like terms: 19 + -19 = 0 0 + 3p = 31 + -19 3p = 31 + -19 Combine like terms: 31 + -19 = 12 3p = 12 Divide each side by '3'. p = 4 Simplifying p = 4
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