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Simplifying 14p + -6p + 8 + -12p = 6 + -2p Reorder the terms: 8 + 14p + -6p + -12p = 6 + -2p Combine like terms: 14p + -6p = 8p 8 + 8p + -12p = 6 + -2p Combine like terms: 8p + -12p = -4p 8 + -4p = 6 + -2p Solving 8 + -4p = 6 + -2p 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. 8 + -4p + 2p = 6 + -2p + 2p Combine like terms: -4p + 2p = -2p 8 + -2p = 6 + -2p + 2p Combine like terms: -2p + 2p = 0 8 + -2p = 6 + 0 8 + -2p = 6 Add '-8' to each side of the equation. 8 + -8 + -2p = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -2p = 6 + -8 -2p = 6 + -8 Combine like terms: 6 + -8 = -2 -2p = -2 Divide each side by '-2'. p = 1 Simplifying p = 1
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