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Simplifying -13p + -6(4 + -4p) = 6(p + -3) + -26 -13p + (4 * -6 + -4p * -6) = 6(p + -3) + -26 -13p + (-24 + 24p) = 6(p + -3) + -26 Reorder the terms: -24 + -13p + 24p = 6(p + -3) + -26 Combine like terms: -13p + 24p = 11p -24 + 11p = 6(p + -3) + -26 Reorder the terms: -24 + 11p = 6(-3 + p) + -26 -24 + 11p = (-3 * 6 + p * 6) + -26 -24 + 11p = (-18 + 6p) + -26 Reorder the terms: -24 + 11p = -18 + -26 + 6p Combine like terms: -18 + -26 = -44 -24 + 11p = -44 + 6p Solving -24 + 11p = -44 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -24 + 11p + -6p = -44 + 6p + -6p Combine like terms: 11p + -6p = 5p -24 + 5p = -44 + 6p + -6p Combine like terms: 6p + -6p = 0 -24 + 5p = -44 + 0 -24 + 5p = -44 Add '24' to each side of the equation. -24 + 24 + 5p = -44 + 24 Combine like terms: -24 + 24 = 0 0 + 5p = -44 + 24 5p = -44 + 24 Combine like terms: -44 + 24 = -20 5p = -20 Divide each side by '5'. p = -4 Simplifying p = -4
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