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Simplifying 7(7p + 6) = -11 + -4p Reorder the terms: 7(6 + 7p) = -11 + -4p (6 * 7 + 7p * 7) = -11 + -4p (42 + 49p) = -11 + -4p Solving 42 + 49p = -11 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 42 + 49p + 4p = -11 + -4p + 4p Combine like terms: 49p + 4p = 53p 42 + 53p = -11 + -4p + 4p Combine like terms: -4p + 4p = 0 42 + 53p = -11 + 0 42 + 53p = -11 Add '-42' to each side of the equation. 42 + -42 + 53p = -11 + -42 Combine like terms: 42 + -42 = 0 0 + 53p = -11 + -42 53p = -11 + -42 Combine like terms: -11 + -42 = -53 53p = -53 Divide each side by '53'. p = -1 Simplifying p = -1
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