Question

Simplify: 3(a+b)-2(2a-b)+4a-7a ​

Answer 1

`\boxed{ \boxed{ \bold{ \red{ - 4a + 5b}}}}`

Step by step explanation

`\sf3(a + b) - 2(2a - b) + 4a - 7a`

Distribute 3 through the parentheses

⇒
`\sf3a + 3b - 2(2a - b) + 4a - 7a`

Distribute 2 through the parentheses

⇒
`\sf3a + 3b - 4a + 2b + 4a - 7a`

Collect like terms

⇒
`\sf3a +4a - 4a - 7a + 3b + 2b`

Since , two opposites add up to zero, remove them from the expression

⇒
`\sf3a - 7a + 3b + 2b`

⇒
`\sf - 4a + 5b`

Hope I helped!

Best regards!!

Answer 2

Hey there!

3(a+b)-2(2a-b)+4a-7a

3a+3b-4a+2b-3a

3b-4a+2b

5b-4a

-4a+5b

Let me know if this helps :)