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Simplifying 2(-12p + 4) = 4(-11p + 7) Reorder the terms: 2(4 + -12p) = 4(-11p + 7) (4 * 2 + -12p * 2) = 4(-11p + 7) (8 + -24p) = 4(-11p + 7) Reorder the terms: 8 + -24p = 4(7 + -11p) 8 + -24p = (7 * 4 + -11p * 4) 8 + -24p = (28 + -44p) Solving 8 + -24p = 28 + -44p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '44p' to each side of the equation. 8 + -24p + 44p = 28 + -44p + 44p Combine like terms: -24p + 44p = 20p 8 + 20p = 28 + -44p + 44p Combine like terms: -44p + 44p = 0 8 + 20p = 28 + 0 8 + 20p = 28 Add '-8' to each side of the equation. 8 + -8 + 20p = 28 + -8 Combine like terms: 8 + -8 = 0 0 + 20p = 28 + -8 20p = 28 + -8 Combine like terms: 28 + -8 = 20 20p = 20 Divide each side by '20'. p = 1 Simplifying p = 1
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