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Simplifying -5(8 + 5p) = 7p + -8 (8 * -5 + 5p * -5) = 7p + -8 (-40 + -25p) = 7p + -8 Reorder the terms: -40 + -25p = -8 + 7p Solving -40 + -25p = -8 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -40 + -25p + -7p = -8 + 7p + -7p Combine like terms: -25p + -7p = -32p -40 + -32p = -8 + 7p + -7p Combine like terms: 7p + -7p = 0 -40 + -32p = -8 + 0 -40 + -32p = -8 Add '40' to each side of the equation. -40 + 40 + -32p = -8 + 40 Combine like terms: -40 + 40 = 0 0 + -32p = -8 + 40 -32p = -8 + 40 Combine like terms: -8 + 40 = 32 -32p = 32 Divide each side by '-32'. p = -1 Simplifying p = -1
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