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Simplifying 32 + -4p = -5(p + -6) Reorder the terms: 32 + -4p = -5(-6 + p) 32 + -4p = (-6 * -5 + p * -5) 32 + -4p = (30 + -5p) Solving 32 + -4p = 30 + -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 + -4p + 5p = 30 + -5p + 5p Combine like terms: -4p + 5p = 1p 32 + 1p = 30 + -5p + 5p Combine like terms: -5p + 5p = 0 32 + 1p = 30 + 0 32 + 1p = 30 Add '-32' to each side of the equation. 32 + -32 + 1p = 30 + -32 Combine like terms: 32 + -32 = 0 0 + 1p = 30 + -32 1p = 30 + -32 Combine like terms: 30 + -32 = -2 1p = -2 Divide each side by '1'. p = -2 Simplifying p = -2
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