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Simplifying -5p + -4(5 + -4p) = 6(p + -2) + -38 -5p + (5 * -4 + -4p * -4) = 6(p + -2) + -38 -5p + (-20 + 16p) = 6(p + -2) + -38 Reorder the terms: -20 + -5p + 16p = 6(p + -2) + -38 Combine like terms: -5p + 16p = 11p -20 + 11p = 6(p + -2) + -38 Reorder the terms: -20 + 11p = 6(-2 + p) + -38 -20 + 11p = (-2 * 6 + p * 6) + -38 -20 + 11p = (-12 + 6p) + -38 Reorder the terms: -20 + 11p = -12 + -38 + 6p Combine like terms: -12 + -38 = -50 -20 + 11p = -50 + 6p Solving -20 + 11p = -50 + 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 = -50 + 6p + -6p Combine like terms: 11p + -6p = 5p -20 + 5p = -50 + 6p + -6p Combine like terms: 6p + -6p = 0 -20 + 5p = -50 + 0 -20 + 5p = -50 Add '20' to each side of the equation. -20 + 20 + 5p = -50 + 20 Combine like terms: -20 + 20 = 0 0 + 5p = -50 + 20 5p = -50 + 20 Combine like terms: -50 + 20 = -30 5p = -30 Divide each side by '5'. p = -6 Simplifying p = -6
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