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1+\left(p-6\right)\times 7=6
Variable p cannot be equal to 6 since division by zero is not defined. Multiply both sides of the equation by p-6.
1+7p-42=6
Use the distributive property to multiply p-6 by 7.
-41+7p=6
Subtract 42 from 1 to get -41.
7p=6+41
Add 41 to both sides.
7p=47
Add 6 and 41 to get 47.
p=\frac{47}{7}
Divide both sides by 7.