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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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