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Simplifying -5(p + -8) = 6(4 + -1p) Reorder the terms: -5(-8 + p) = 6(4 + -1p) (-8 * -5 + p * -5) = 6(4 + -1p) (40 + -5p) = 6(4 + -1p) 40 + -5p = (4 * 6 + -1p * 6) 40 + -5p = (24 + -6p) Solving 40 + -5p = 24 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. 40 + -5p + 6p = 24 + -6p + 6p Combine like terms: -5p + 6p = 1p 40 + 1p = 24 + -6p + 6p Combine like terms: -6p + 6p = 0 40 + 1p = 24 + 0 40 + 1p = 24 Add '-40' to each side of the equation. 40 + -40 + 1p = 24 + -40 Combine like terms: 40 + -40 = 0 0 + 1p = 24 + -40 1p = 24 + -40 Combine like terms: 24 + -40 = -16 1p = -16 Divide each side by '1'. p = -16 Simplifying p = -16
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