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Simplifying 6(p + 4) = 6(1 + 2p) Reorder the terms: 6(4 + p) = 6(1 + 2p) (4 * 6 + p * 6) = 6(1 + 2p) (24 + 6p) = 6(1 + 2p) 24 + 6p = (1 * 6 + 2p * 6) 24 + 6p = (6 + 12p) Solving 24 + 6p = 6 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 24 + 6p + -12p = 6 + 12p + -12p Combine like terms: 6p + -12p = -6p 24 + -6p = 6 + 12p + -12p Combine like terms: 12p + -12p = 0 24 + -6p = 6 + 0 24 + -6p = 6 Add '-24' to each side of the equation. 24 + -24 + -6p = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -6p = 6 + -24 -6p = 6 + -24 Combine like terms: 6 + -24 = -18 -6p = -18 Divide each side by '-6'. p = 3 Simplifying p = 3
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