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Simplifying 4 + -1p + 8 = 12p + -32 Reorder the terms: 4 + 8 + -1p = 12p + -32 Combine like terms: 4 + 8 = 12 12 + -1p = 12p + -32 Reorder the terms: 12 + -1p = -32 + 12p Solving 12 + -1p = -32 + 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. 12 + -1p + -12p = -32 + 12p + -12p Combine like terms: -1p + -12p = -13p 12 + -13p = -32 + 12p + -12p Combine like terms: 12p + -12p = 0 12 + -13p = -32 + 0 12 + -13p = -32 Add '-12' to each side of the equation. 12 + -12 + -13p = -32 + -12 Combine like terms: 12 + -12 = 0 0 + -13p = -32 + -12 -13p = -32 + -12 Combine like terms: -32 + -12 = -44 -13p = -44 Divide each side by '-13'. p = 3.384615385 Simplifying p = 3.384615385
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