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5\left(0-9\right)+3\left(0+1\right)=0
Multiply both sides of the equation by 15, the least common multiple of 3,5,15.
5\left(-9\right)+3\left(0+1\right)=0
Subtract 9 from 0 to get -9.
-45+3\left(0+1\right)=0
Multiply 5 and -9 to get -45.
-45+3\times 1=0
Add 0 and 1 to get 1.
-45+3=0
Multiply 3 and 1 to get 3.
-42=0
Add -45 and 3 to get -42.
\text{false}
Compare -42 and 0.