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Simplifying 10p + -6p + -12 = 12p + -24 + -32p Reorder the terms: -12 + 10p + -6p = 12p + -24 + -32p Combine like terms: 10p + -6p = 4p -12 + 4p = 12p + -24 + -32p Reorder the terms: -12 + 4p = -24 + 12p + -32p Combine like terms: 12p + -32p = -20p -12 + 4p = -24 + -20p Solving -12 + 4p = -24 + -20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20p' to each side of the equation. -12 + 4p + 20p = -24 + -20p + 20p Combine like terms: 4p + 20p = 24p -12 + 24p = -24 + -20p + 20p Combine like terms: -20p + 20p = 0 -12 + 24p = -24 + 0 -12 + 24p = -24 Add '12' to each side of the equation. -12 + 12 + 24p = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 24p = -24 + 12 24p = -24 + 12 Combine like terms: -24 + 12 = -12 24p = -12 Divide each side by '24'. p = -0.5 Simplifying p = -0.5
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