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Simplifying -32p + -16 + 12p + 24 = 4p + 6 + p + 5 Reorder the terms: -16 + 24 + -32p + 12p = 4p + 6 + p + 5 Combine like terms: -16 + 24 = 8 8 + -32p + 12p = 4p + 6 + p + 5 Combine like terms: -32p + 12p = -20p 8 + -20p = 4p + 6 + p + 5 Reorder the terms: 8 + -20p = 6 + 5 + 4p + p Combine like terms: 6 + 5 = 11 8 + -20p = 11 + 4p + p Combine like terms: 4p + p = 5p 8 + -20p = 11 + 5p Solving 8 + -20p = 11 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 8 + -20p + -5p = 11 + 5p + -5p Combine like terms: -20p + -5p = -25p 8 + -25p = 11 + 5p + -5p Combine like terms: 5p + -5p = 0 8 + -25p = 11 + 0 8 + -25p = 11 Add '-8' to each side of the equation. 8 + -8 + -25p = 11 + -8 Combine like terms: 8 + -8 = 0 0 + -25p = 11 + -8 -25p = 11 + -8 Combine like terms: 11 + -8 = 3 -25p = 3 Divide each side by '-25'. p = -0.12 Simplifying p = -0.12
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