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Simplifying 6p + -5 + 8p + -2p + -3 = 9p + -24 Reorder the terms: -5 + -3 + 6p + 8p + -2p = 9p + -24 Combine like terms: -5 + -3 = -8 -8 + 6p + 8p + -2p = 9p + -24 Combine like terms: 6p + 8p = 14p -8 + 14p + -2p = 9p + -24 Combine like terms: 14p + -2p = 12p -8 + 12p = 9p + -24 Reorder the terms: -8 + 12p = -24 + 9p Solving -8 + 12p = -24 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -8 + 12p + -9p = -24 + 9p + -9p Combine like terms: 12p + -9p = 3p -8 + 3p = -24 + 9p + -9p Combine like terms: 9p + -9p = 0 -8 + 3p = -24 + 0 -8 + 3p = -24 Add '8' to each side of the equation. -8 + 8 + 3p = -24 + 8 Combine like terms: -8 + 8 = 0 0 + 3p = -24 + 8 3p = -24 + 8 Combine like terms: -24 + 8 = -16 3p = -16 Divide each side by '3'. p = -5.333333333 Simplifying p = -5.333333333
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