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Simplifying 3p + -1(6 + -1p) = 18 + -2p 3p + (6 * -1 + -1p * -1) = 18 + -2p 3p + (-6 + 1p) = 18 + -2p Reorder the terms: -6 + 3p + 1p = 18 + -2p Combine like terms: 3p + 1p = 4p -6 + 4p = 18 + -2p Solving -6 + 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. -6 + 4p + 2p = 18 + -2p + 2p Combine like terms: 4p + 2p = 6p -6 + 6p = 18 + -2p + 2p Combine like terms: -2p + 2p = 0 -6 + 6p = 18 + 0 -6 + 6p = 18 Add '6' to each side of the equation. -6 + 6 + 6p = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 6p = 18 + 6 6p = 18 + 6 Combine like terms: 18 + 6 = 24 6p = 24 Divide each side by '6'. p = 4 Simplifying p = 4
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