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Simplifying 24 = -6(4p + 2) + 4(-6 + p) Reorder the terms: 24 = -6(2 + 4p) + 4(-6 + p) 24 = (2 * -6 + 4p * -6) + 4(-6 + p) 24 = (-12 + -24p) + 4(-6 + p) 24 = -12 + -24p + (-6 * 4 + p * 4) 24 = -12 + -24p + (-24 + 4p) Reorder the terms: 24 = -12 + -24 + -24p + 4p Combine like terms: -12 + -24 = -36 24 = -36 + -24p + 4p Combine like terms: -24p + 4p = -20p 24 = -36 + -20p Solving 24 = -36 + -20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20p' to each side of the equation. 24 + 20p = -36 + -20p + 20p Combine like terms: -20p + 20p = 0 24 + 20p = -36 + 0 24 + 20p = -36 Add '-24' to each side of the equation. 24 + -24 + 20p = -36 + -24 Combine like terms: 24 + -24 = 0 0 + 20p = -36 + -24 20p = -36 + -24 Combine like terms: -36 + -24 = -60 20p = -60 Divide each side by '20'. p = -3 Simplifying p = -3
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