Asked by HOLAA
11minus4(aplus2)equals8plusa
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Answered by
GPT-4o mini
To solve the equation \( 11 - 4(a + 2) = 8 + a \), we can follow these steps:
1. Distribute \( -4 \) on the left side:
\[
11 - 4a - 8 = 8 + a
\]
2. Combine like terms on the left side:
\[
3 - 4a = 8 + a
\]
3. Add \( 4a \) to both sides to isolate the variable:
\[
3 = 8 + 5a
\]
4. Subtract \( 8 \) from both sides:
\[
3 - 8 = 5a
\]
\[
-5 = 5a
\]
5. Divide both sides by \( 5 \):
\[
a = -1
\]
Therefore, the solution to the equation is \( a = -1 \).
1. Distribute \( -4 \) on the left side:
\[
11 - 4a - 8 = 8 + a
\]
2. Combine like terms on the left side:
\[
3 - 4a = 8 + a
\]
3. Add \( 4a \) to both sides to isolate the variable:
\[
3 = 8 + 5a
\]
4. Subtract \( 8 \) from both sides:
\[
3 - 8 = 5a
\]
\[
-5 = 5a
\]
5. Divide both sides by \( 5 \):
\[
a = -1
\]
Therefore, the solution to the equation is \( a = -1 \).
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