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Simplifying -4(19p + -12) + 9 = 7(-11p + 11) Reorder the terms: -4(-12 + 19p) + 9 = 7(-11p + 11) (-12 * -4 + 19p * -4) + 9 = 7(-11p + 11) (48 + -76p) + 9 = 7(-11p + 11) Reorder the terms: 48 + 9 + -76p = 7(-11p + 11) Combine like terms: 48 + 9 = 57 57 + -76p = 7(-11p + 11) Reorder the terms: 57 + -76p = 7(11 + -11p) 57 + -76p = (11 * 7 + -11p * 7) 57 + -76p = (77 + -77p) Solving 57 + -76p = 77 + -77p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '77p' to each side of the equation. 57 + -76p + 77p = 77 + -77p + 77p Combine like terms: -76p + 77p = 1p 57 + 1p = 77 + -77p + 77p Combine like terms: -77p + 77p = 0 57 + 1p = 77 + 0 57 + 1p = 77 Add '-57' to each side of the equation. 57 + -57 + 1p = 77 + -57 Combine like terms: 57 + -57 = 0 0 + 1p = 77 + -57 1p = 77 + -57 Combine like terms: 77 + -57 = 20 1p = 20 Divide each side by '1'. p = 20 Simplifying p = 20
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