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Simplifying 7(1 + -1p) = -1(2p + -1) + 7 (1 * 7 + -1p * 7) = -1(2p + -1) + 7 (7 + -7p) = -1(2p + -1) + 7 Reorder the terms: 7 + -7p = -1(-1 + 2p) + 7 7 + -7p = (-1 * -1 + 2p * -1) + 7 7 + -7p = (1 + -2p) + 7 Reorder the terms: 7 + -7p = 1 + 7 + -2p Combine like terms: 1 + 7 = 8 7 + -7p = 8 + -2p Solving 7 + -7p = 8 + -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 = 8 + -2p + 2p Combine like terms: -7p + 2p = -5p 7 + -5p = 8 + -2p + 2p Combine like terms: -2p + 2p = 0 7 + -5p = 8 + 0 7 + -5p = 8 Add '-7' to each side of the equation. 7 + -7 + -5p = 8 + -7 Combine like terms: 7 + -7 = 0 0 + -5p = 8 + -7 -5p = 8 + -7 Combine like terms: 8 + -7 = 1 -5p = 1 Divide each side by '-5'. p = -0.2 Simplifying p = -0.2
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