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2\left(2\times 4+3\right)=2\times 8+7
Multiply both sides of the equation by 8, the least common multiple of 4,8.
2\left(8+3\right)=2\times 8+7
Multiply 2 and 4 to get 8.
2\times 11=2\times 8+7
Add 8 and 3 to get 11.
22=2\times 8+7
Multiply 2 and 11 to get 22.
22=16+7
Multiply 2 and 8 to get 16.
22=23
Add 16 and 7 to get 23.
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Compare 22 and 23.