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Simplifying 8(5p + -3) + -1p = -7(5 + -4p) Reorder the terms: 8(-3 + 5p) + -1p = -7(5 + -4p) (-3 * 8 + 5p * 8) + -1p = -7(5 + -4p) (-24 + 40p) + -1p = -7(5 + -4p) Combine like terms: 40p + -1p = 39p -24 + 39p = -7(5 + -4p) -24 + 39p = (5 * -7 + -4p * -7) -24 + 39p = (-35 + 28p) Solving -24 + 39p = -35 + 28p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-28p' to each side of the equation. -24 + 39p + -28p = -35 + 28p + -28p Combine like terms: 39p + -28p = 11p -24 + 11p = -35 + 28p + -28p Combine like terms: 28p + -28p = 0 -24 + 11p = -35 + 0 -24 + 11p = -35 Add '24' to each side of the equation. -24 + 24 + 11p = -35 + 24 Combine like terms: -24 + 24 = 0 0 + 11p = -35 + 24 11p = -35 + 24 Combine like terms: -35 + 24 = -11 11p = -11 Divide each side by '11'. p = -1 Simplifying p = -1
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