How do you simplify #2(a+3) + 4 (a-2)#?

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Answer 1 · 2018-03-04T10:50:15

#6a-2#

As with any equation we want to simplify, we always expand brackets first.

#color(red)(2)(color(green)(a+color(red)(3)#)+#color(red)(4)(color(green)(a)color(red)(-2))#

#color(red)(2)xxcolor(green)(a)=color(green)(2a)#

#color(red)(2xx3)=color(red)(6)#

#color(red)(4)xxcolor(green)(a)=color(green)(4a)#

#color(red)(4xx-2)=color(red)(-8)#

Therefore this turns to:

#color(green)(2a+4a)+color(red)(6-8)#

Collecting like terms:

#color(green)(2a+4a=6a)#

#color(red)(6-8=-2)#

This turns to:

#color(green)(6a)color(red)(-2)#

#therefore# The answer is #6a-2#