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Simplifying 6p + 2 + -2p = 4 + 12p Reorder the terms: 2 + 6p + -2p = 4 + 12p Combine like terms: 6p + -2p = 4p 2 + 4p = 4 + 12p Solving 2 + 4p = 4 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 2 + 4p + -12p = 4 + 12p + -12p Combine like terms: 4p + -12p = -8p 2 + -8p = 4 + 12p + -12p Combine like terms: 12p + -12p = 0 2 + -8p = 4 + 0 2 + -8p = 4 Add '-2' to each side of the equation. 2 + -2 + -8p = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -8p = 4 + -2 -8p = 4 + -2 Combine like terms: 4 + -2 = 2 -8p = 2 Divide each side by '-8'. p = -0.25 Simplifying p = -0.25
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