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2\left(3.5+7^{0}\right)-2\times 2^{3}=p-2
Multiply both sides of the equation by 2.
2\left(3.5+7^{0}\right)-2^{4}=p-2
To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.
2\left(3.5+1\right)-2^{4}=p-2
Calculate 7 to the power of 0 and get 1.
2\times 4.5-2^{4}=p-2
Add 3.5 and 1 to get 4.5.
9-2^{4}=p-2
Multiply 2 and 4.5 to get 9.
9-16=p-2
Calculate 2 to the power of 4 and get 16.
-7=p-2
Subtract 16 from 9 to get -7.
p-2=-7
Swap sides so that all variable terms are on the left hand side.
p=-7+2
Add 2 to both sides.
p=-5
Add -7 and 2 to get -5.