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Simplifying -5(-1p + 8) = -6p + 12 Reorder the terms: -5(8 + -1p) = -6p + 12 (8 * -5 + -1p * -5) = -6p + 12 (-40 + 5p) = -6p + 12 Reorder the terms: -40 + 5p = 12 + -6p Solving -40 + 5p = 12 + -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 = 12 + -6p + 6p Combine like terms: 5p + 6p = 11p -40 + 11p = 12 + -6p + 6p Combine like terms: -6p + 6p = 0 -40 + 11p = 12 + 0 -40 + 11p = 12 Add '40' to each side of the equation. -40 + 40 + 11p = 12 + 40 Combine like terms: -40 + 40 = 0 0 + 11p = 12 + 40 11p = 12 + 40 Combine like terms: 12 + 40 = 52 11p = 52 Divide each side by '11'. p = 4.727272727 Simplifying p = 4.727272727
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