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Simplifying -5 + -6 = 8(3p + 5) + 5(-2 + -7p) Combine like terms: -5 + -6 = -11 -11 = 8(3p + 5) + 5(-2 + -7p) Reorder the terms: -11 = 8(5 + 3p) + 5(-2 + -7p) -11 = (5 * 8 + 3p * 8) + 5(-2 + -7p) -11 = (40 + 24p) + 5(-2 + -7p) -11 = 40 + 24p + (-2 * 5 + -7p * 5) -11 = 40 + 24p + (-10 + -35p) Reorder the terms: -11 = 40 + -10 + 24p + -35p Combine like terms: 40 + -10 = 30 -11 = 30 + 24p + -35p Combine like terms: 24p + -35p = -11p -11 = 30 + -11p Solving -11 = 30 + -11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '11p' to each side of the equation. -11 + 11p = 30 + -11p + 11p Combine like terms: -11p + 11p = 0 -11 + 11p = 30 + 0 -11 + 11p = 30 Add '11' to each side of the equation. -11 + 11 + 11p = 30 + 11 Combine like terms: -11 + 11 = 0 0 + 11p = 30 + 11 11p = 30 + 11 Combine like terms: 30 + 11 = 41 11p = 41 Divide each side by '11'. p = 3.727272727 Simplifying p = 3.727272727
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