Question

How do you simplify `–2(a + 3b) + 4(2a – 3b)`?

Answer 1

`=color(red)( 6a - 18b`

Explanation:

`–2(a+3b) = color(blue)(-2a -6b`

`4(2a–3b) =color(red)( 8a -12b`

Combining:
`=color(blue)(-2a -6b + color(red)( 8a -12b`

Grouping like terms :
`= (-2a + 8a) + (-6b - 12b)`

`=color(red)( 6a - 18b`