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Simplifying -11p + -5(4 + -4p) = 6(p + -5) + -5 -11p + (4 * -5 + -4p * -5) = 6(p + -5) + -5 -11p + (-20 + 20p) = 6(p + -5) + -5 Reorder the terms: -20 + -11p + 20p = 6(p + -5) + -5 Combine like terms: -11p + 20p = 9p -20 + 9p = 6(p + -5) + -5 Reorder the terms: -20 + 9p = 6(-5 + p) + -5 -20 + 9p = (-5 * 6 + p * 6) + -5 -20 + 9p = (-30 + 6p) + -5 Reorder the terms: -20 + 9p = -30 + -5 + 6p Combine like terms: -30 + -5 = -35 -20 + 9p = -35 + 6p Solving -20 + 9p = -35 + 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 + 9p + -6p = -35 + 6p + -6p Combine like terms: 9p + -6p = 3p -20 + 3p = -35 + 6p + -6p Combine like terms: 6p + -6p = 0 -20 + 3p = -35 + 0 -20 + 3p = -35 Add '20' to each side of the equation. -20 + 20 + 3p = -35 + 20 Combine like terms: -20 + 20 = 0 0 + 3p = -35 + 20 3p = -35 + 20 Combine like terms: -35 + 20 = -15 3p = -15 Divide each side by '3'. p = -5 Simplifying p = -5
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