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Simplifying 8(5 + -6p) + -5 = 419 (5 * 8 + -6p * 8) + -5 = 419 (40 + -48p) + -5 = 419 Reorder the terms: 40 + -5 + -48p = 419 Combine like terms: 40 + -5 = 35 35 + -48p = 419 Solving 35 + -48p = 419 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -48p = 419 + -35 Combine like terms: 35 + -35 = 0 0 + -48p = 419 + -35 -48p = 419 + -35 Combine like terms: 419 + -35 = 384 -48p = 384 Divide each side by '-48'. p = -8 Simplifying p = -8
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