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Solve the equation for [tex]q[/tex].

[tex]\[
\begin{array}{c}
q - 4 = 12 \\
q = [?]
\end{array}
\][/tex]

Sagot :

GinnyAnswer
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].
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