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Simplifying 4(1 + -4p) + 1 = -91 (1 * 4 + -4p * 4) + 1 = -91 (4 + -16p) + 1 = -91 Reorder the terms: 4 + 1 + -16p = -91 Combine like terms: 4 + 1 = 5 5 + -16p = -91 Solving 5 + -16p = -91 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -16p = -91 + -5 Combine like terms: 5 + -5 = 0 0 + -16p = -91 + -5 -16p = -91 + -5 Combine like terms: -91 + -5 = -96 -16p = -96 Divide each side by '-16'. p = 6 Simplifying p = 6
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