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Simplifying 4p + 5p + -15 = 8 + p + 2 Reorder the terms: -15 + 4p + 5p = 8 + p + 2 Combine like terms: 4p + 5p = 9p -15 + 9p = 8 + p + 2 Reorder the terms: -15 + 9p = 8 + 2 + p Combine like terms: 8 + 2 = 10 -15 + 9p = 10 + p Solving -15 + 9p = 10 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -15 + 9p + -1p = 10 + p + -1p Combine like terms: 9p + -1p = 8p -15 + 8p = 10 + p + -1p Combine like terms: p + -1p = 0 -15 + 8p = 10 + 0 -15 + 8p = 10 Add '15' to each side of the equation. -15 + 15 + 8p = 10 + 15 Combine like terms: -15 + 15 = 0 0 + 8p = 10 + 15 8p = 10 + 15 Combine like terms: 10 + 15 = 25 8p = 25 Divide each side by '8'. p = 3.125 Simplifying p = 3.125
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