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Simplifying 2(p + 4 + -6) = 16 + -42 Reorder the terms: 2(4 + -6 + p) = 16 + -42 Combine like terms: 4 + -6 = -2 2(-2 + p) = 16 + -42 (-2 * 2 + p * 2) = 16 + -42 (-4 + 2p) = 16 + -42 Combine like terms: 16 + -42 = -26 -4 + 2p = -26 Solving -4 + 2p = -26 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2p = -26 + 4 Combine like terms: -4 + 4 = 0 0 + 2p = -26 + 4 2p = -26 + 4 Combine like terms: -26 + 4 = -22 2p = -22 Divide each side by '2'. p = -11 Simplifying p = -11
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