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Simplifying -11p + -3(-2p + -20) = -1p + 19 + 9 Reorder the terms: -11p + -3(-20 + -2p) = -1p + 19 + 9 -11p + (-20 * -3 + -2p * -3) = -1p + 19 + 9 -11p + (60 + 6p) = -1p + 19 + 9 Reorder the terms: 60 + -11p + 6p = -1p + 19 + 9 Combine like terms: -11p + 6p = -5p 60 + -5p = -1p + 19 + 9 Reorder the terms: 60 + -5p = 19 + 9 + -1p Combine like terms: 19 + 9 = 28 60 + -5p = 28 + -1p Solving 60 + -5p = 28 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 60 + -5p + p = 28 + -1p + p Combine like terms: -5p + p = -4p 60 + -4p = 28 + -1p + p Combine like terms: -1p + p = 0 60 + -4p = 28 + 0 60 + -4p = 28 Add '-60' to each side of the equation. 60 + -60 + -4p = 28 + -60 Combine like terms: 60 + -60 = 0 0 + -4p = 28 + -60 -4p = 28 + -60 Combine like terms: 28 + -60 = -32 -4p = -32 Divide each side by '-4'. p = 8 Simplifying p = 8
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