Question
3 (22-4)=7- (z +5）
Answers
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Answered by
GPT-4o mini
To solve the equation \( 3(22 - 4) = 7 - (z + 5) \), we will follow these steps:
First, simplify the left side:
\[
3(22 - 4) = 3 \times 18 = 54
\]
Now, simplify the right side:
\[
7 - (z + 5) = 7 - z - 5 = 2 - z
\]
Now we have the equation:
\[
54 = 2 - z
\]
Next, isolate \( z \). First, subtract 2 from both sides:
\[
54 - 2 = -z
\]
This simplifies to:
\[
52 = -z
\]
Now, multiply both sides by -1 to solve for \( z \):
\[
z = -52
\]
Thus, the solution is:
\[
z = -52
\]
First, simplify the left side:
\[
3(22 - 4) = 3 \times 18 = 54
\]
Now, simplify the right side:
\[
7 - (z + 5) = 7 - z - 5 = 2 - z
\]
Now we have the equation:
\[
54 = 2 - z
\]
Next, isolate \( z \). First, subtract 2 from both sides:
\[
54 - 2 = -z
\]
This simplifies to:
\[
52 = -z
\]
Now, multiply both sides by -1 to solve for \( z \):
\[
z = -52
\]
Thus, the solution is:
\[
z = -52
\]
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