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Simplifying 12(p + -2) + -6(4 + -2p) = 2 + 4p Reorder the terms: 12(-2 + p) + -6(4 + -2p) = 2 + 4p (-2 * 12 + p * 12) + -6(4 + -2p) = 2 + 4p (-24 + 12p) + -6(4 + -2p) = 2 + 4p -24 + 12p + (4 * -6 + -2p * -6) = 2 + 4p -24 + 12p + (-24 + 12p) = 2 + 4p Reorder the terms: -24 + -24 + 12p + 12p = 2 + 4p Combine like terms: -24 + -24 = -48 -48 + 12p + 12p = 2 + 4p Combine like terms: 12p + 12p = 24p -48 + 24p = 2 + 4p Solving -48 + 24p = 2 + 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. -48 + 24p + -4p = 2 + 4p + -4p Combine like terms: 24p + -4p = 20p -48 + 20p = 2 + 4p + -4p Combine like terms: 4p + -4p = 0 -48 + 20p = 2 + 0 -48 + 20p = 2 Add '48' to each side of the equation. -48 + 48 + 20p = 2 + 48 Combine like terms: -48 + 48 = 0 0 + 20p = 2 + 48 20p = 2 + 48 Combine like terms: 2 + 48 = 50 20p = 50 Divide each side by '20'. p = 2.5 Simplifying p = 2.5
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