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Simplifying 24p + 3p + 7p + -14p + -1p + -8 = 49 Reorder the terms: -8 + 24p + 3p + 7p + -14p + -1p = 49 Combine like terms: 24p + 3p = 27p -8 + 27p + 7p + -14p + -1p = 49 Combine like terms: 27p + 7p = 34p -8 + 34p + -14p + -1p = 49 Combine like terms: 34p + -14p = 20p -8 + 20p + -1p = 49 Combine like terms: 20p + -1p = 19p -8 + 19p = 49 Solving -8 + 19p = 49 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 19p = 49 + 8 Combine like terms: -8 + 8 = 0 0 + 19p = 49 + 8 19p = 49 + 8 Combine like terms: 49 + 8 = 57 19p = 57 Divide each side by '19'. p = 3 Simplifying p = 3
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