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Simplifying 8 + 2p + -1 = 6p + 21 + -2p Reorder the terms: 8 + -1 + 2p = 6p + 21 + -2p Combine like terms: 8 + -1 = 7 7 + 2p = 6p + 21 + -2p Reorder the terms: 7 + 2p = 21 + 6p + -2p Combine like terms: 6p + -2p = 4p 7 + 2p = 21 + 4p Solving 7 + 2p = 21 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 7 + 2p + -4p = 21 + 4p + -4p Combine like terms: 2p + -4p = -2p 7 + -2p = 21 + 4p + -4p Combine like terms: 4p + -4p = 0 7 + -2p = 21 + 0 7 + -2p = 21 Add '-7' to each side of the equation. 7 + -7 + -2p = 21 + -7 Combine like terms: 7 + -7 = 0 0 + -2p = 21 + -7 -2p = 21 + -7 Combine like terms: 21 + -7 = 14 -2p = 14 Divide each side by '-2'. p = -7 Simplifying p = -7
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