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Simplifying -32 + -12p = 2(6p + 12) + -8 Reorder the terms: -32 + -12p = 2(12 + 6p) + -8 -32 + -12p = (12 * 2 + 6p * 2) + -8 -32 + -12p = (24 + 12p) + -8 Reorder the terms: -32 + -12p = 24 + -8 + 12p Combine like terms: 24 + -8 = 16 -32 + -12p = 16 + 12p Solving -32 + -12p = 16 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -32 + -12p + -12p = 16 + 12p + -12p Combine like terms: -12p + -12p = -24p -32 + -24p = 16 + 12p + -12p Combine like terms: 12p + -12p = 0 -32 + -24p = 16 + 0 -32 + -24p = 16 Add '32' to each side of the equation. -32 + 32 + -24p = 16 + 32 Combine like terms: -32 + 32 = 0 0 + -24p = 16 + 32 -24p = 16 + 32 Combine like terms: 16 + 32 = 48 -24p = 48 Divide each side by '-24'. p = -2 Simplifying p = -2
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