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Simplifying 6(2p + -74) = 10p + 2 Reorder the terms: 6(-74 + 2p) = 10p + 2 (-74 * 6 + 2p * 6) = 10p + 2 (-444 + 12p) = 10p + 2 Reorder the terms: -444 + 12p = 2 + 10p Solving -444 + 12p = 2 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -444 + 12p + -10p = 2 + 10p + -10p Combine like terms: 12p + -10p = 2p -444 + 2p = 2 + 10p + -10p Combine like terms: 10p + -10p = 0 -444 + 2p = 2 + 0 -444 + 2p = 2 Add '444' to each side of the equation. -444 + 444 + 2p = 2 + 444 Combine like terms: -444 + 444 = 0 0 + 2p = 2 + 444 2p = 2 + 444 Combine like terms: 2 + 444 = 446 2p = 446 Divide each side by '2'. p = 223 Simplifying p = 223
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