10g -8 = 4g + 9g + 10
combine like terms
10g -8 =13g +10
subtract 10g from each side
-8 = 3g +10
subtract 10 from each side
-18 = 3g
divide by 3
-6 =g
[tex]10g-8=4g+9g+10\\\\10g-8=(4g+9g)+10\\\\10g-8=13g+10\qquad\text{add 8 to both sides}\\\\10g=13g+18\qquad\text{subtract 13g from both sides}\\\\-3g=18\qquad\text{divide both sides by (-3)}\\\\\boxed{g=-6}[/tex]
