Question

Can someone help me work out this problem? 5(r+9)-2(1-r)=1

Answer 1

Explanation:

5r + 45 - 2 + 2r = 1

7r + 43 = 1

7r = -42

r = -6

Answer 2

`\boxed{ \bold{ \huge{ \boxed{ \sf{r = - 6}}}}}`

Explanation:

`\sf{5(r + 9) - 2(1 - r) = 1}`

Distribute 5 through the parentheses

Similarly, distribute 2 through the parentheses

`\longrightarrow{ \sf{5r + 45 - 2 + 2r = 1}}`

Collect like terms

`\longrightarrow{ \sf{7r + 45 - 2 = 1}}`

Subtract 2 from 45

`\longrightarrow{ \sf{7r + 43 = 1}}`

Move 43 to right hand side and change it's sign

`\longrightarrow{ \sf{7r = 1 - 43}}`

Subtract 43 from 1

`\longrightarrow{ \sf{7r = - 42}}`

Divide both sides by 7

`\longrightarrow{ \sf{ (7r)/(7) = ( - 42)/(7)}}`

Calculate

`\dashrightarrow{ \sf{r = - 6}}`

Hope I helped!

Best regards! :D