Question

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

Answer 1

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