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Simplifying 3(5p + 7) + -2(p + -1) = 0 Reorder the terms: 3(7 + 5p) + -2(p + -1) = 0 (7 * 3 + 5p * 3) + -2(p + -1) = 0 (21 + 15p) + -2(p + -1) = 0 Reorder the terms: 21 + 15p + -2(-1 + p) = 0 21 + 15p + (-1 * -2 + p * -2) = 0 21 + 15p + (2 + -2p) = 0 Reorder the terms: 21 + 2 + 15p + -2p = 0 Combine like terms: 21 + 2 = 23 23 + 15p + -2p = 0 Combine like terms: 15p + -2p = 13p 23 + 13p = 0 Solving 23 + 13p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 13p = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 13p = 0 + -23 13p = 0 + -23 Combine like terms: 0 + -23 = -23 13p = -23 Divide each side by '13'. p = -1.769230769 Simplifying p = -1.769230769
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