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Simplifying 400 + -2p = 6p + -12 Reorder the terms: 400 + -2p = -12 + 6p Solving 400 + -2p = -12 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 400 + -2p + -6p = -12 + 6p + -6p Combine like terms: -2p + -6p = -8p 400 + -8p = -12 + 6p + -6p Combine like terms: 6p + -6p = 0 400 + -8p = -12 + 0 400 + -8p = -12 Add '-400' to each side of the equation. 400 + -400 + -8p = -12 + -400 Combine like terms: 400 + -400 = 0 0 + -8p = -12 + -400 -8p = -12 + -400 Combine like terms: -12 + -400 = -412 -8p = -412 Divide each side by '-8'. p = 51.5 Simplifying p = 51.5
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