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Simplifying 2 + (4p + 1s) = 5s + 2p Remove parenthesis around (4p + 1s) 2 + 4p + 1s = 5s + 2p Reorder the terms: 2 + 4p + 1s = 2p + 5s Solving 2 + 4p + 1s = 2p + 5s Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 2 + 4p + -2p + 1s = 2p + -2p + 5s Combine like terms: 4p + -2p = 2p 2 + 2p + 1s = 2p + -2p + 5s Combine like terms: 2p + -2p = 0 2 + 2p + 1s = 0 + 5s 2 + 2p + 1s = 5s Add '-2' to each side of the equation. 2 + 2p + -2 + 1s = -2 + 5s Reorder the terms: 2 + -2 + 2p + 1s = -2 + 5s Combine like terms: 2 + -2 = 0 0 + 2p + 1s = -2 + 5s 2p + 1s = -2 + 5s Add '-1s' to each side of the equation. 2p + 1s + -1s = -2 + 5s + -1s Combine like terms: 1s + -1s = 0 2p + 0 = -2 + 5s + -1s 2p = -2 + 5s + -1s Combine like terms: 5s + -1s = 4s 2p = -2 + 4s Divide each side by '2'. p = -1 + 2s Simplifying p = -1 + 2s
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