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Simplifying 10 + -4(6 + 7) = 2(1 + -1p) Combine like terms: 6 + 7 = 13 10 + -4(13) = 2(1 + -1p) Multiply -4 * 13 10 + -52 = 2(1 + -1p) Combine like terms: 10 + -52 = -42 -42 = 2(1 + -1p) -42 = (1 * 2 + -1p * 2) -42 = (2 + -2p) Solving -42 = 2 + -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. -42 + 2p = 2 + -2p + 2p Combine like terms: -2p + 2p = 0 -42 + 2p = 2 + 0 -42 + 2p = 2 Add '42' to each side of the equation. -42 + 42 + 2p = 2 + 42 Combine like terms: -42 + 42 = 0 0 + 2p = 2 + 42 2p = 2 + 42 Combine like terms: 2 + 42 = 44 2p = 44 Divide each side by '2'. p = 22 Simplifying p = 22
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