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Simplifying 2p + -4(p + 6) = -42 Reorder the terms: 2p + -4(6 + p) = -42 2p + (6 * -4 + p * -4) = -42 2p + (-24 + -4p) = -42 Reorder the terms: -24 + 2p + -4p = -42 Combine like terms: 2p + -4p = -2p -24 + -2p = -42 Solving -24 + -2p = -42 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -2p = -42 + 24 Combine like terms: -24 + 24 = 0 0 + -2p = -42 + 24 -2p = -42 + 24 Combine like terms: -42 + 24 = -18 -2p = -18 Divide each side by '-2'. p = 9 Simplifying p = 9
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