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Simplifying 2p + -12 + 4p = 2p + -4 + -32 Reorder the terms: -12 + 2p + 4p = 2p + -4 + -32 Combine like terms: 2p + 4p = 6p -12 + 6p = 2p + -4 + -32 Reorder the terms: -12 + 6p = -4 + -32 + 2p Combine like terms: -4 + -32 = -36 -12 + 6p = -36 + 2p Solving -12 + 6p = -36 + 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. -12 + 6p + -2p = -36 + 2p + -2p Combine like terms: 6p + -2p = 4p -12 + 4p = -36 + 2p + -2p Combine like terms: 2p + -2p = 0 -12 + 4p = -36 + 0 -12 + 4p = -36 Add '12' to each side of the equation. -12 + 12 + 4p = -36 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = -36 + 12 4p = -36 + 12 Combine like terms: -36 + 12 = -24 4p = -24 Divide each side by '4'. p = -6 Simplifying p = -6
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