Respuesta :

From the question we are given the equation

[tex]7-i-4(I-6)=5(4-i)-2(1-i)[/tex]

Assuming the I represents i then we have

[tex]7-i-4(i-6)=5(4-i)-2(1-i)[/tex]

now we are to solve for i by expanding the bracket

This gives

[tex]7-i-4i+24=20-5i-2+2i[/tex]

Next we are to collect like terms

[tex]\begin{gathered} 7+24-i-4i=20-2-5i+2i \\ 31-5i=18-3i \\ -5i+3i=18-31 \\ -2i=-13 \end{gathered}[/tex]

Finally we have

[tex]\begin{gathered} i=\frac{-13}{-2} \\ i=\frac{13}{2} \end{gathered}[/tex]

Therefore, the value for i is

[tex]i=\frac{13}{2}[/tex]