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20\times 5=b\times 10
Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 20b, the least common multiple of b,20.
100=b\times 10
Multiply 20 and 5 to get 100.
b\times 10=100
Swap sides so that all variable terms are on the left hand side.
b=\frac{100}{10}
Divide both sides by 10.
b=10
Divide 100 by 10 to get 10.