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Simplifying 6 + 3p + -1 = 9p + 21 + -4p Reorder the terms: 6 + -1 + 3p = 9p + 21 + -4p Combine like terms: 6 + -1 = 5 5 + 3p = 9p + 21 + -4p Reorder the terms: 5 + 3p = 21 + 9p + -4p Combine like terms: 9p + -4p = 5p 5 + 3p = 21 + 5p Solving 5 + 3p = 21 + 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. 5 + 3p + -5p = 21 + 5p + -5p Combine like terms: 3p + -5p = -2p 5 + -2p = 21 + 5p + -5p Combine like terms: 5p + -5p = 0 5 + -2p = 21 + 0 5 + -2p = 21 Add '-5' to each side of the equation. 5 + -5 + -2p = 21 + -5 Combine like terms: 5 + -5 = 0 0 + -2p = 21 + -5 -2p = 21 + -5 Combine like terms: 21 + -5 = 16 -2p = 16 Divide each side by '-2'. p = -8 Simplifying p = -8
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