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Simplifying 8 + -1p = -5(8 + -2p) + -5p 8 + -1p = (8 * -5 + -2p * -5) + -5p 8 + -1p = (-40 + 10p) + -5p Combine like terms: 10p + -5p = 5p 8 + -1p = -40 + 5p Solving 8 + -1p = -40 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 8 + -1p + -5p = -40 + 5p + -5p Combine like terms: -1p + -5p = -6p 8 + -6p = -40 + 5p + -5p Combine like terms: 5p + -5p = 0 8 + -6p = -40 + 0 8 + -6p = -40 Add '-8' to each side of the equation. 8 + -8 + -6p = -40 + -8 Combine like terms: 8 + -8 = 0 0 + -6p = -40 + -8 -6p = -40 + -8 Combine like terms: -40 + -8 = -48 -6p = -48 Divide each side by '-6'. p = 8 Simplifying p = 8
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