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3a=-4\left(a-1\right)
Variable a cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by 3\left(a-1\right), the least common multiple of a-1,3.
3a=-4a+4
Use the distributive property to multiply -4 by a-1.
3a+4a=4
Add 4a to both sides.
7a=4
Combine 3a and 4a to get 7a.
a=\frac{4}{7}
Divide both sides by 7.