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Simplifying 3(-4p + 8) + 2p = -31 + p Reorder the terms: 3(8 + -4p) + 2p = -31 + p (8 * 3 + -4p * 3) + 2p = -31 + p (24 + -12p) + 2p = -31 + p Combine like terms: -12p + 2p = -10p 24 + -10p = -31 + p Solving 24 + -10p = -31 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 24 + -10p + -1p = -31 + p + -1p Combine like terms: -10p + -1p = -11p 24 + -11p = -31 + p + -1p Combine like terms: p + -1p = 0 24 + -11p = -31 + 0 24 + -11p = -31 Add '-24' to each side of the equation. 24 + -24 + -11p = -31 + -24 Combine like terms: 24 + -24 = 0 0 + -11p = -31 + -24 -11p = -31 + -24 Combine like terms: -31 + -24 = -55 -11p = -55 Divide each side by '-11'. p = 5 Simplifying p = 5
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