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Simplifying 2p + -12 + 8p = 6p + -24 + -24 Reorder the terms: -12 + 2p + 8p = 6p + -24 + -24 Combine like terms: 2p + 8p = 10p -12 + 10p = 6p + -24 + -24 Reorder the terms: -12 + 10p = -24 + -24 + 6p Combine like terms: -24 + -24 = -48 -12 + 10p = -48 + 6p Solving -12 + 10p = -48 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -12 + 10p + -6p = -48 + 6p + -6p Combine like terms: 10p + -6p = 4p -12 + 4p = -48 + 6p + -6p Combine like terms: 6p + -6p = 0 -12 + 4p = -48 + 0 -12 + 4p = -48 Add '12' to each side of the equation. -12 + 12 + 4p = -48 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = -48 + 12 4p = -48 + 12 Combine like terms: -48 + 12 = -36 4p = -36 Divide each side by '4'. p = -9 Simplifying p = -9
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