[tex]$24 a-22=-4(1-6 a)$[/tex]

To solve the equation 24 a − 22 = − 4 ( 1 − 6 a ) , let's break it down step by step:

Distribute the -4 on the right side :
− 4 ( 1 − 6 a ) = − 4 ⋅ 1 + ( − 4 ) ⋅ ( − 6 a )
Which simplifies to:
− 4 + 24 a

Substitute back into the original equation :
24 a − 22 = − 4 + 24 a

Eliminate the same terms on both sides :
Since both sides have 24 a , we can subtract 24 a from both sides:
24 a − 24 a − 22 = − 4 + 24 a − 24 a
Simplifying gives:
− 22 = − 4

Analyze the result :
Since − 22 does not equal − 4 , this indicates there is no solution to the equation.


The equation 24 a − 22 = − 4 ( 1 − 6 a ) is inconsistent, meaning there are no values of a that satisfy it.

Answered by danjohnbrain | 2025-07-22