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Simplifying 11p + 9(p + -8) = -4(p + -6) Reorder the terms: 11p + 9(-8 + p) = -4(p + -6) 11p + (-8 * 9 + p * 9) = -4(p + -6) 11p + (-72 + 9p) = -4(p + -6) Reorder the terms: -72 + 11p + 9p = -4(p + -6) Combine like terms: 11p + 9p = 20p -72 + 20p = -4(p + -6) Reorder the terms: -72 + 20p = -4(-6 + p) -72 + 20p = (-6 * -4 + p * -4) -72 + 20p = (24 + -4p) Solving -72 + 20p = 24 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -72 + 20p + 4p = 24 + -4p + 4p Combine like terms: 20p + 4p = 24p -72 + 24p = 24 + -4p + 4p Combine like terms: -4p + 4p = 0 -72 + 24p = 24 + 0 -72 + 24p = 24 Add '72' to each side of the equation. -72 + 72 + 24p = 24 + 72 Combine like terms: -72 + 72 = 0 0 + 24p = 24 + 72 24p = 24 + 72 Combine like terms: 24 + 72 = 96 24p = 96 Divide each side by '24'. p = 4 Simplifying p = 4
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