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Simplifying -5p + 32 = -2(5p + -6) Reorder the terms: 32 + -5p = -2(5p + -6) Reorder the terms: 32 + -5p = -2(-6 + 5p) 32 + -5p = (-6 * -2 + 5p * -2) 32 + -5p = (12 + -10p) Solving 32 + -5p = 12 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. 32 + -5p + 10p = 12 + -10p + 10p Combine like terms: -5p + 10p = 5p 32 + 5p = 12 + -10p + 10p Combine like terms: -10p + 10p = 0 32 + 5p = 12 + 0 32 + 5p = 12 Add '-32' to each side of the equation. 32 + -32 + 5p = 12 + -32 Combine like terms: 32 + -32 = 0 0 + 5p = 12 + -32 5p = 12 + -32 Combine like terms: 12 + -32 = -20 5p = -20 Divide each side by '5'. p = -4 Simplifying p = -4
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