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Simplifying 6p + -2(p + 12) = 18 + -2p Reorder the terms: 6p + -2(12 + p) = 18 + -2p 6p + (12 * -2 + p * -2) = 18 + -2p 6p + (-24 + -2p) = 18 + -2p Reorder the terms: -24 + 6p + -2p = 18 + -2p Combine like terms: 6p + -2p = 4p -24 + 4p = 18 + -2p Solving -24 + 4p = 18 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -24 + 4p + 2p = 18 + -2p + 2p Combine like terms: 4p + 2p = 6p -24 + 6p = 18 + -2p + 2p Combine like terms: -2p + 2p = 0 -24 + 6p = 18 + 0 -24 + 6p = 18 Add '24' to each side of the equation. -24 + 24 + 6p = 18 + 24 Combine like terms: -24 + 24 = 0 0 + 6p = 18 + 24 6p = 18 + 24 Combine like terms: 18 + 24 = 42 6p = 42 Divide each side by '6'. p = 7 Simplifying p = 7
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