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Simplifying 2p + -8(5p + 3) = 12 + -2p Reorder the terms: 2p + -8(3 + 5p) = 12 + -2p 2p + (3 * -8 + 5p * -8) = 12 + -2p 2p + (-24 + -40p) = 12 + -2p Reorder the terms: -24 + 2p + -40p = 12 + -2p Combine like terms: 2p + -40p = -38p -24 + -38p = 12 + -2p Solving -24 + -38p = 12 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -24 + -38p + 2p = 12 + -2p + 2p Combine like terms: -38p + 2p = -36p -24 + -36p = 12 + -2p + 2p Combine like terms: -2p + 2p = 0 -24 + -36p = 12 + 0 -24 + -36p = 12 Add '24' to each side of the equation. -24 + 24 + -36p = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -36p = 12 + 24 -36p = 12 + 24 Combine like terms: 12 + 24 = 36 -36p = 36 Divide each side by '-36'. p = -1 Simplifying p = -1
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