Question

-22.5-7r=9.5 (2.5r+4)

Answer 1

`-22.5-7r=9.5(2.5r+4)\qquad|\text{use distributive property}\\\\-22.5-7r=(9.5)(2.5r)+(9.5)(4)\\\\-22.5-7r=23.75r+38\qquad|\text{add 22.5 to both sides}\\\\-7r=23.75r+60.5\qquad|\text{subtract 23.75r from both sides}\\\\-30.75r=60.5\qquad|\text{divide both sides by}\ -30.75\\\\r=-(60.5)/(30.75)\\\\r=-(6050)/(3075)\\\\r=-(6050:25)/(3075:25)\\\\r=-(242)/(123)`