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Simplifying 6(2p + 4) + -8 = 8p + 32 Reorder the terms: 6(4 + 2p) + -8 = 8p + 32 (4 * 6 + 2p * 6) + -8 = 8p + 32 (24 + 12p) + -8 = 8p + 32 Reorder the terms: 24 + -8 + 12p = 8p + 32 Combine like terms: 24 + -8 = 16 16 + 12p = 8p + 32 Reorder the terms: 16 + 12p = 32 + 8p Solving 16 + 12p = 32 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 16 + 12p + -8p = 32 + 8p + -8p Combine like terms: 12p + -8p = 4p 16 + 4p = 32 + 8p + -8p Combine like terms: 8p + -8p = 0 16 + 4p = 32 + 0 16 + 4p = 32 Add '-16' to each side of the equation. 16 + -16 + 4p = 32 + -16 Combine like terms: 16 + -16 = 0 0 + 4p = 32 + -16 4p = 32 + -16 Combine like terms: 32 + -16 = 16 4p = 16 Divide each side by '4'. p = 4 Simplifying p = 4
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