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Simplifying -82 = -2 + -5(6 + 5p) -82 = -2 + (6 * -5 + 5p * -5) -82 = -2 + (-30 + -25p) Combine like terms: -2 + -30 = -32 -82 = -32 + -25p Solving -82 = -32 + -25p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '25p' to each side of the equation. -82 + 25p = -32 + -25p + 25p Combine like terms: -25p + 25p = 0 -82 + 25p = -32 + 0 -82 + 25p = -32 Add '82' to each side of the equation. -82 + 82 + 25p = -32 + 82 Combine like terms: -82 + 82 = 0 0 + 25p = -32 + 82 25p = -32 + 82 Combine like terms: -32 + 82 = 50 25p = 50 Divide each side by '25'. p = 2 Simplifying p = 2
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