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Simplifying -8(1 + -3p) + -4(2p + -6) = 48 (1 * -8 + -3p * -8) + -4(2p + -6) = 48 (-8 + 24p) + -4(2p + -6) = 48 Reorder the terms: -8 + 24p + -4(-6 + 2p) = 48 -8 + 24p + (-6 * -4 + 2p * -4) = 48 -8 + 24p + (24 + -8p) = 48 Reorder the terms: -8 + 24 + 24p + -8p = 48 Combine like terms: -8 + 24 = 16 16 + 24p + -8p = 48 Combine like terms: 24p + -8p = 16p 16 + 16p = 48 Solving 16 + 16p = 48 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 16p = 48 + -16 Combine like terms: 16 + -16 = 0 0 + 16p = 48 + -16 16p = 48 + -16 Combine like terms: 48 + -16 = 32 16p = 32 Divide each side by '16'. p = 2 Simplifying p = 2
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