Question

5g + 4(-5+3g) = 1 - g

Answer 1

5g + 4(-5 + 3g) = 1 - g 
5g - 20 + 12g = 1 - g 
 17g - 20 = 1 - g 
   $\frac{18g}{18} = \frac{21}{18}$
    there can be to answer 
      g = $\frac{21}{18}$ or 
      you can simplify $\frac{21/3}{18/3} = \frac{7}{6}$ or $1 \frac{1}{6}$
 
 

Answer 2

$5g+4(-5+3g)=1-g\ \ \ |use\ distributive\ property\ a(b+c)=ab+ac\\\\5g+4(-5)+4(3g)=1-g\\\\5g-20+12g=1-g\\\\5g+12g-20=1-g\\\\17g-20=1-g\ \ \ |add\ 20\ to\ both\ sides\\\\17g=21-g\ \ \ |add\ "g"\ to\ both\ sides\\\\18g=21\ \ \ \ |divide\ both\ sides\ by\ 18\\\\g=\dfrac{21}{18}\\\\g=\dfrac{21:3}{18:3}\\\\\huge\boxed{g=\frac{7}{6}=\frac{6+1}{6}=\frac{6}{6}+\frac{1}{6}=1\frac{1}{6}}$