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Simplifying p + 7(1 + 6p) = -165 p + (1 * 7 + 6p * 7) = -165 p + (7 + 42p) = -165 Reorder the terms: 7 + p + 42p = -165 Combine like terms: p + 42p = 43p 7 + 43p = -165 Solving 7 + 43p = -165 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 43p = -165 + -7 Combine like terms: 7 + -7 = 0 0 + 43p = -165 + -7 43p = -165 + -7 Combine like terms: -165 + -7 = -172 43p = -172 Divide each side by '43'. p = -4 Simplifying p = -4
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