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Simplifying 6(4p + -8) = 12 + 4p Reorder the terms: 6(-8 + 4p) = 12 + 4p (-8 * 6 + 4p * 6) = 12 + 4p (-48 + 24p) = 12 + 4p Solving -48 + 24p = 12 + 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 = 12 + 4p + -4p Combine like terms: 24p + -4p = 20p -48 + 20p = 12 + 4p + -4p Combine like terms: 4p + -4p = 0 -48 + 20p = 12 + 0 -48 + 20p = 12 Add '48' to each side of the equation. -48 + 48 + 20p = 12 + 48 Combine like terms: -48 + 48 = 0 0 + 20p = 12 + 48 20p = 12 + 48 Combine like terms: 12 + 48 = 60 20p = 60 Divide each side by '20'. p = 3 Simplifying p = 3
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