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Simplifying 32 + 6p = 4 + -5(-1p + -4) Reorder the terms: 32 + 6p = 4 + -5(-4 + -1p) 32 + 6p = 4 + (-4 * -5 + -1p * -5) 32 + 6p = 4 + (20 + 5p) Combine like terms: 4 + 20 = 24 32 + 6p = 24 + 5p Solving 32 + 6p = 24 + 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. 32 + 6p + -5p = 24 + 5p + -5p Combine like terms: 6p + -5p = 1p 32 + 1p = 24 + 5p + -5p Combine like terms: 5p + -5p = 0 32 + 1p = 24 + 0 32 + 1p = 24 Add '-32' to each side of the equation. 32 + -32 + 1p = 24 + -32 Combine like terms: 32 + -32 = 0 0 + 1p = 24 + -32 1p = 24 + -32 Combine like terms: 24 + -32 = -8 1p = -8 Divide each side by '1'. p = -8 Simplifying p = -8
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