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Simplifying 24p + 12 + -18p = 10 + 2p + -6 Reorder the terms: 12 + 24p + -18p = 10 + 2p + -6 Combine like terms: 24p + -18p = 6p 12 + 6p = 10 + 2p + -6 Reorder the terms: 12 + 6p = 10 + -6 + 2p Combine like terms: 10 + -6 = 4 12 + 6p = 4 + 2p Solving 12 + 6p = 4 + 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 = 4 + 2p + -2p Combine like terms: 6p + -2p = 4p 12 + 4p = 4 + 2p + -2p Combine like terms: 2p + -2p = 0 12 + 4p = 4 + 0 12 + 4p = 4 Add '-12' to each side of the equation. 12 + -12 + 4p = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 4p = 4 + -12 4p = 4 + -12 Combine like terms: 4 + -12 = -8 4p = -8 Divide each side by '4'. p = -2 Simplifying p = -2
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