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Simplifying -7(11p + 6) = -7(2p + -3) Reorder the terms: -7(6 + 11p) = -7(2p + -3) (6 * -7 + 11p * -7) = -7(2p + -3) (-42 + -77p) = -7(2p + -3) Reorder the terms: -42 + -77p = -7(-3 + 2p) -42 + -77p = (-3 * -7 + 2p * -7) -42 + -77p = (21 + -14p) Solving -42 + -77p = 21 + -14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14p' to each side of the equation. -42 + -77p + 14p = 21 + -14p + 14p Combine like terms: -77p + 14p = -63p -42 + -63p = 21 + -14p + 14p Combine like terms: -14p + 14p = 0 -42 + -63p = 21 + 0 -42 + -63p = 21 Add '42' to each side of the equation. -42 + 42 + -63p = 21 + 42 Combine like terms: -42 + 42 = 0 0 + -63p = 21 + 42 -63p = 21 + 42 Combine like terms: 21 + 42 = 63 -63p = 63 Divide each side by '-63'. p = -1 Simplifying p = -1
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