simplify 10+4(−8q−4)

Mathematics · Middle School · Thu Feb 04 2021

Answered on

Given the numerical equation:

10 + 4 ( -8q - 4)

Simplify.

Solution:

In order to simplify the given numerical equation, we simply need to distribute 4 to each value inside the parenthesis, then after distribution, we combine similar terms in the equation

= 10 + 4 ( -8q - 4 ) 

= 10 + ( -32q - 4)

= 10 - 32q - 4

= 6 + 32q

If we are asked to find for q, we simply need to transpose 6 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.

32q = -6

Divide both sides by 32 in order to get the value of q.

32q/32 = -6/32

q = - 3/16

Final answer:

Simplified form = 6 + 32q 

q = -3/16