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Simplifying 7(1 + -1p) = 2(1 + -1p) (1 * 7 + -1p * 7) = 2(1 + -1p) (7 + -7p) = 2(1 + -1p) 7 + -7p = (1 * 2 + -1p * 2) 7 + -7p = (2 + -2p) Solving 7 + -7p = 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. 7 + -7p + 2p = 2 + -2p + 2p Combine like terms: -7p + 2p = -5p 7 + -5p = 2 + -2p + 2p Combine like terms: -2p + 2p = 0 7 + -5p = 2 + 0 7 + -5p = 2 Add '-7' to each side of the equation. 7 + -7 + -5p = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -5p = 2 + -7 -5p = 2 + -7 Combine like terms: 2 + -7 = -5 -5p = -5 Divide each side by '-5'. p = 1 Simplifying p = 1
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