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Simplifying 8 + 5p = -5(-1p + 4) + 4(6p + 2) Reorder the terms: 8 + 5p = -5(4 + -1p) + 4(6p + 2) 8 + 5p = (4 * -5 + -1p * -5) + 4(6p + 2) 8 + 5p = (-20 + 5p) + 4(6p + 2) Reorder the terms: 8 + 5p = -20 + 5p + 4(2 + 6p) 8 + 5p = -20 + 5p + (2 * 4 + 6p * 4) 8 + 5p = -20 + 5p + (8 + 24p) Reorder the terms: 8 + 5p = -20 + 8 + 5p + 24p Combine like terms: -20 + 8 = -12 8 + 5p = -12 + 5p + 24p Combine like terms: 5p + 24p = 29p 8 + 5p = -12 + 29p Solving 8 + 5p = -12 + 29p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-29p' to each side of the equation. 8 + 5p + -29p = -12 + 29p + -29p Combine like terms: 5p + -29p = -24p 8 + -24p = -12 + 29p + -29p Combine like terms: 29p + -29p = 0 8 + -24p = -12 + 0 8 + -24p = -12 Add '-8' to each side of the equation. 8 + -8 + -24p = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -24p = -12 + -8 -24p = -12 + -8 Combine like terms: -12 + -8 = -20 -24p = -20 Divide each side by '-24'. p = 0.8333333333 Simplifying p = 0.8333333333
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