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Simplifying 2p + 17 = 5p + 11 + -21 Reorder the terms: 17 + 2p = 5p + 11 + -21 Reorder the terms: 17 + 2p = 11 + -21 + 5p Combine like terms: 11 + -21 = -10 17 + 2p = -10 + 5p Solving 17 + 2p = -10 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 17 + 2p + -5p = -10 + 5p + -5p Combine like terms: 2p + -5p = -3p 17 + -3p = -10 + 5p + -5p Combine like terms: 5p + -5p = 0 17 + -3p = -10 + 0 17 + -3p = -10 Add '-17' to each side of the equation. 17 + -17 + -3p = -10 + -17 Combine like terms: 17 + -17 = 0 0 + -3p = -10 + -17 -3p = -10 + -17 Combine like terms: -10 + -17 = -27 -3p = -27 Divide each side by '-3'. p = 9 Simplifying p = 9
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