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4\left(a-5\right)=a-8
Multiply both sides of the equation by 24, the least common multiple of 6,24.
4a-20=a-8
Use the distributive property to multiply 4 by a-5.
4a-20-a=-8
Subtract a from both sides.
3a-20=-8
Combine 4a and -a to get 3a.
3a=-8+20
Add 20 to both sides.
3a=12
Add -8 and 20 to get 12.
a=\frac{12}{3}
Divide both sides by 3.
a=4
Divide 12 by 3 to get 4.