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Simplifying -8(6p + 12) + -4(7 + -8p) = -11p + -6 + 2 Reorder the terms: -8(12 + 6p) + -4(7 + -8p) = -11p + -6 + 2 (12 * -8 + 6p * -8) + -4(7 + -8p) = -11p + -6 + 2 (-96 + -48p) + -4(7 + -8p) = -11p + -6 + 2 -96 + -48p + (7 * -4 + -8p * -4) = -11p + -6 + 2 -96 + -48p + (-28 + 32p) = -11p + -6 + 2 Reorder the terms: -96 + -28 + -48p + 32p = -11p + -6 + 2 Combine like terms: -96 + -28 = -124 -124 + -48p + 32p = -11p + -6 + 2 Combine like terms: -48p + 32p = -16p -124 + -16p = -11p + -6 + 2 Reorder the terms: -124 + -16p = -6 + 2 + -11p Combine like terms: -6 + 2 = -4 -124 + -16p = -4 + -11p Solving -124 + -16p = -4 + -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. -124 + -16p + 11p = -4 + -11p + 11p Combine like terms: -16p + 11p = -5p -124 + -5p = -4 + -11p + 11p Combine like terms: -11p + 11p = 0 -124 + -5p = -4 + 0 -124 + -5p = -4 Add '124' to each side of the equation. -124 + 124 + -5p = -4 + 124 Combine like terms: -124 + 124 = 0 0 + -5p = -4 + 124 -5p = -4 + 124 Combine like terms: -4 + 124 = 120 -5p = 120 Divide each side by '-5'. p = -24 Simplifying p = -24
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