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-2.5+a\times 4.5=3
Swap sides so that all variable terms are on the left hand side.
a\times 4.5=3+2.5
Add 2.5 to both sides.
a\times 4.5=5.5
Add 3 and 2.5 to get 5.5.
a=\frac{5.5}{4.5}
Divide both sides by 4.5.
a=\frac{55}{45}
Expand \frac{5.5}{4.5} by multiplying both numerator and the denominator by 10.
a=\frac{11}{9}
Reduce the fraction \frac{55}{45} to lowest terms by extracting and canceling out 5.