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Simplifying 7(-7p + 5 + 2(p + 1)) = 6p + 1 Reorder the terms: 7(-7p + 5 + 2(1 + p)) = 6p + 1 7(-7p + 5 + (1 * 2 + p * 2)) = 6p + 1 7(-7p + 5 + (2 + 2p)) = 6p + 1 Reorder the terms: 7(5 + 2 + -7p + 2p) = 6p + 1 Combine like terms: 5 + 2 = 7 7(7 + -7p + 2p) = 6p + 1 Combine like terms: -7p + 2p = -5p 7(7 + -5p) = 6p + 1 (7 * 7 + -5p * 7) = 6p + 1 (49 + -35p) = 6p + 1 Reorder the terms: 49 + -35p = 1 + 6p Solving 49 + -35p = 1 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 49 + -35p + -6p = 1 + 6p + -6p Combine like terms: -35p + -6p = -41p 49 + -41p = 1 + 6p + -6p Combine like terms: 6p + -6p = 0 49 + -41p = 1 + 0 49 + -41p = 1 Add '-49' to each side of the equation. 49 + -49 + -41p = 1 + -49 Combine like terms: 49 + -49 = 0 0 + -41p = 1 + -49 -41p = 1 + -49 Combine like terms: 1 + -49 = -48 -41p = -48 Divide each side by '-41'. p = 1.170731707 Simplifying p = 1.170731707
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