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Simplifying 10 + -4(p + 7) = 2(1 + -1p) Reorder the terms: 10 + -4(7 + p) = 2(1 + -1p) 10 + (7 * -4 + p * -4) = 2(1 + -1p) 10 + (-28 + -4p) = 2(1 + -1p) Combine like terms: 10 + -28 = -18 -18 + -4p = 2(1 + -1p) -18 + -4p = (1 * 2 + -1p * 2) -18 + -4p = (2 + -2p) Solving -18 + -4p = 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. -18 + -4p + 2p = 2 + -2p + 2p Combine like terms: -4p + 2p = -2p -18 + -2p = 2 + -2p + 2p Combine like terms: -2p + 2p = 0 -18 + -2p = 2 + 0 -18 + -2p = 2 Add '18' to each side of the equation. -18 + 18 + -2p = 2 + 18 Combine like terms: -18 + 18 = 0 0 + -2p = 2 + 18 -2p = 2 + 18 Combine like terms: 2 + 18 = 20 -2p = 20 Divide each side by '-2'. p = -10 Simplifying p = -10
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