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Simplifying 2(4p + -7) = 2(1 + -1p) Reorder the terms: 2(-7 + 4p) = 2(1 + -1p) (-7 * 2 + 4p * 2) = 2(1 + -1p) (-14 + 8p) = 2(1 + -1p) -14 + 8p = (1 * 2 + -1p * 2) -14 + 8p = (2 + -2p) Solving -14 + 8p = 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. -14 + 8p + 2p = 2 + -2p + 2p Combine like terms: 8p + 2p = 10p -14 + 10p = 2 + -2p + 2p Combine like terms: -2p + 2p = 0 -14 + 10p = 2 + 0 -14 + 10p = 2 Add '14' to each side of the equation. -14 + 14 + 10p = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 10p = 2 + 14 10p = 2 + 14 Combine like terms: 2 + 14 = 16 10p = 16 Divide each side by '10'. p = 1.6 Simplifying p = 1.6
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