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Simplifying p + 4p = 3(-8 + 2p) + -1(12 + -11p) Combine like terms: p + 4p = 5p 5p = 3(-8 + 2p) + -1(12 + -11p) 5p = (-8 * 3 + 2p * 3) + -1(12 + -11p) 5p = (-24 + 6p) + -1(12 + -11p) 5p = -24 + 6p + (12 * -1 + -11p * -1) 5p = -24 + 6p + (-12 + 11p) Reorder the terms: 5p = -24 + -12 + 6p + 11p Combine like terms: -24 + -12 = -36 5p = -36 + 6p + 11p Combine like terms: 6p + 11p = 17p 5p = -36 + 17p Solving 5p = -36 + 17p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-17p' to each side of the equation. 5p + -17p = -36 + 17p + -17p Combine like terms: 5p + -17p = -12p -12p = -36 + 17p + -17p Combine like terms: 17p + -17p = 0 -12p = -36 + 0 -12p = -36 Divide each side by '-12'. p = 3 Simplifying p = 3
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