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Simplifying -11p + -5(4 + -4p) = 4(p + -3) + -28 -11p + (4 * -5 + -4p * -5) = 4(p + -3) + -28 -11p + (-20 + 20p) = 4(p + -3) + -28 Reorder the terms: -20 + -11p + 20p = 4(p + -3) + -28 Combine like terms: -11p + 20p = 9p -20 + 9p = 4(p + -3) + -28 Reorder the terms: -20 + 9p = 4(-3 + p) + -28 -20 + 9p = (-3 * 4 + p * 4) + -28 -20 + 9p = (-12 + 4p) + -28 Reorder the terms: -20 + 9p = -12 + -28 + 4p Combine like terms: -12 + -28 = -40 -20 + 9p = -40 + 4p Solving -20 + 9p = -40 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -20 + 9p + -4p = -40 + 4p + -4p Combine like terms: 9p + -4p = 5p -20 + 5p = -40 + 4p + -4p Combine like terms: 4p + -4p = 0 -20 + 5p = -40 + 0 -20 + 5p = -40 Add '20' to each side of the equation. -20 + 20 + 5p = -40 + 20 Combine like terms: -20 + 20 = 0 0 + 5p = -40 + 20 5p = -40 + 20 Combine like terms: -40 + 20 = -20 5p = -20 Divide each side by '5'. p = -4 Simplifying p = -4
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