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Simplifying 6(7 + -2p) = 5n + -7 (7 * 6 + -2p * 6) = 5n + -7 (42 + -12p) = 5n + -7 Reorder the terms: 42 + -12p = -7 + 5n Solving 42 + -12p = -7 + 5n Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -12p = -7 + -42 + 5n Combine like terms: 42 + -42 = 0 0 + -12p = -7 + -42 + 5n -12p = -7 + -42 + 5n Combine like terms: -7 + -42 = -49 -12p = -49 + 5n Divide each side by '-12'. p = 4.083333333 + -0.4166666667n Simplifying p = 4.083333333 + -0.4166666667n
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