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Simplifying -1(p + -8) = 36 + 3p Reorder the terms: -1(-8 + p) = 36 + 3p (-8 * -1 + p * -1) = 36 + 3p (8 + -1p) = 36 + 3p Solving 8 + -1p = 36 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 8 + -1p + -3p = 36 + 3p + -3p Combine like terms: -1p + -3p = -4p 8 + -4p = 36 + 3p + -3p Combine like terms: 3p + -3p = 0 8 + -4p = 36 + 0 8 + -4p = 36 Add '-8' to each side of the equation. 8 + -8 + -4p = 36 + -8 Combine like terms: 8 + -8 = 0 0 + -4p = 36 + -8 -4p = 36 + -8 Combine like terms: 36 + -8 = 28 -4p = 28 Divide each side by '-4'. p = -7 Simplifying p = -7
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