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Simplifying -41 = -8(6 + 5p) + -7(-1 + 8p) -41 = (6 * -8 + 5p * -8) + -7(-1 + 8p) -41 = (-48 + -40p) + -7(-1 + 8p) -41 = -48 + -40p + (-1 * -7 + 8p * -7) -41 = -48 + -40p + (7 + -56p) Reorder the terms: -41 = -48 + 7 + -40p + -56p Combine like terms: -48 + 7 = -41 -41 = -41 + -40p + -56p Combine like terms: -40p + -56p = -96p -41 = -41 + -96p Add '41' to each side of the equation. -41 + 41 = -41 + 41 + -96p Combine like terms: -41 + 41 = 0 0 = -41 + 41 + -96p Combine like terms: -41 + 41 = 0 0 = 0 + -96p 0 = -96p Solving 0 = -96p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '96p' to each side of the equation. 0 + 96p = -96p + 96p Remove the zero: 96p = -96p + 96p Combine like terms: -96p + 96p = 0 96p = 0 Divide each side by '96'. p = 0 Simplifying p = 0
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