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Simplifying 2(5p + -7) = 9p + 17 Reorder the terms: 2(-7 + 5p) = 9p + 17 (-7 * 2 + 5p * 2) = 9p + 17 (-14 + 10p) = 9p + 17 Reorder the terms: -14 + 10p = 17 + 9p Solving -14 + 10p = 17 + 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. -14 + 10p + -9p = 17 + 9p + -9p Combine like terms: 10p + -9p = 1p -14 + 1p = 17 + 9p + -9p Combine like terms: 9p + -9p = 0 -14 + 1p = 17 + 0 -14 + 1p = 17 Add '14' to each side of the equation. -14 + 14 + 1p = 17 + 14 Combine like terms: -14 + 14 = 0 0 + 1p = 17 + 14 1p = 17 + 14 Combine like terms: 17 + 14 = 31 1p = 31 Divide each side by '1'. p = 31 Simplifying p = 31
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