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Simplifying 12p + 8 = 14p + -4 Reorder the terms: 8 + 12p = 14p + -4 Reorder the terms: 8 + 12p = -4 + 14p Solving 8 + 12p = -4 + 14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14p' to each side of the equation. 8 + 12p + -14p = -4 + 14p + -14p Combine like terms: 12p + -14p = -2p 8 + -2p = -4 + 14p + -14p Combine like terms: 14p + -14p = 0 8 + -2p = -4 + 0 8 + -2p = -4 Add '-8' to each side of the equation. 8 + -8 + -2p = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -2p = -4 + -8 -2p = -4 + -8 Combine like terms: -4 + -8 = -12 -2p = -12 Divide each side by '-2'. p = 6 Simplifying p = 6
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