Solve for c
c=-6
c=14
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\frac{1}{2}|c-4|+5=10
Swap sides so that all variable terms are on the left hand side.
\frac{1}{2}|c-4|=10-5
Subtract 5 from both sides.
\frac{1}{2}|c-4|=5
Subtract 5 from 10 to get 5.
|c-4|=5\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
|c-4|=10
Multiply 5 and 2 to get 10.
c-4=10 c-4=-10
Use the definition of absolute value.
c=14 c=-6
Add 4 to both sides of the equation.
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