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Simplifying [7(p + 5) + p] + 6p = 0 Reorder the terms: [7(5 + p) + p] + 6p = 0 [(5 * 7 + p * 7) + p] + 6p = 0 [(35 + 7p) + p] + 6p = 0 Combine like terms: 7p + p = 8p [35 + 8p] + 6p = 0 Remove brackets around [35 + 8p] 35 + 8p + 6p = 0 Combine like terms: 8p + 6p = 14p 35 + 14p = 0 Solving 35 + 14p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 14p = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 14p = 0 + -35 14p = 0 + -35 Combine like terms: 0 + -35 = -35 14p = -35 Divide each side by '14'. p = -2.5 Simplifying p = -2.5
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