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Simplifying 3 + -6(1 + -3p) = -23 + -2p 3 + (1 * -6 + -3p * -6) = -23 + -2p 3 + (-6 + 18p) = -23 + -2p Combine like terms: 3 + -6 = -3 -3 + 18p = -23 + -2p Solving -3 + 18p = -23 + -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. -3 + 18p + 2p = -23 + -2p + 2p Combine like terms: 18p + 2p = 20p -3 + 20p = -23 + -2p + 2p Combine like terms: -2p + 2p = 0 -3 + 20p = -23 + 0 -3 + 20p = -23 Add '3' to each side of the equation. -3 + 3 + 20p = -23 + 3 Combine like terms: -3 + 3 = 0 0 + 20p = -23 + 3 20p = -23 + 3 Combine like terms: -23 + 3 = -20 20p = -20 Divide each side by '20'. p = -1 Simplifying p = -1
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