To solve the equation [tex]\( q - 4 = 12 \)[/tex] for [tex]\( q \)[/tex], follow these steps:
1. Identify the equation: We have the equation [tex]\( q - 4 = 12 \)[/tex].
2. Isolate the variable [tex]\( q \)[/tex]: To isolate [tex]\( q \)[/tex], we need to remove the constant term on the left side (which is -4). To do this, we add 4 to both sides of the equation. This is based on the principle of maintaining equality:
[tex]\[
q - 4 + 4 = 12 + 4
\][/tex]
3. Simplify both sides:
- On the left side, [tex]\(-4\)[/tex] and [tex]\(+4\)[/tex] cancel each other out, leaving us with [tex]\( q \)[/tex]:
[tex]\[
q = q
\][/tex]
- On the right side, we add 12 and 4, which gives us 16:
[tex]\[
12 + 4 = 16
\][/tex]
4. Write the result: Now, we have the simplified equation:
[tex]\[
q = 16
\][/tex]
Therefore, the solution to the equation [tex]\( q - 4 = 12 \)[/tex] is [tex]\( q = 16 \)[/tex].
