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Simplifying -4p + -5(4 + -3p) = 6(p + -6) + -24 -4p + (4 * -5 + -3p * -5) = 6(p + -6) + -24 -4p + (-20 + 15p) = 6(p + -6) + -24 Reorder the terms: -20 + -4p + 15p = 6(p + -6) + -24 Combine like terms: -4p + 15p = 11p -20 + 11p = 6(p + -6) + -24 Reorder the terms: -20 + 11p = 6(-6 + p) + -24 -20 + 11p = (-6 * 6 + p * 6) + -24 -20 + 11p = (-36 + 6p) + -24 Reorder the terms: -20 + 11p = -36 + -24 + 6p Combine like terms: -36 + -24 = -60 -20 + 11p = -60 + 6p Solving -20 + 11p = -60 + 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. -20 + 11p + -6p = -60 + 6p + -6p Combine like terms: 11p + -6p = 5p -20 + 5p = -60 + 6p + -6p Combine like terms: 6p + -6p = 0 -20 + 5p = -60 + 0 -20 + 5p = -60 Add '20' to each side of the equation. -20 + 20 + 5p = -60 + 20 Combine like terms: -20 + 20 = 0 0 + 5p = -60 + 20 5p = -60 + 20 Combine like terms: -60 + 20 = -40 5p = -40 Divide each side by '5'. p = -8 Simplifying p = -8
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