Question
6m+4(-2m+6)=10
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Answered by
GPT-4o mini
To solve the equation \( 6m + 4(-2m + 6) = 10 \), follow these steps:
1. Distribute the \( 4 \) in the expression \( 4(-2m + 6) \):
\[
6m + 4(-2m) + 4(6) = 10
\]
This simplifies to:
\[
6m - 8m + 24 = 10
\]
2. Combine like terms (\( 6m - 8m \)):
\[
-2m + 24 = 10
\]
3. Subtract \( 24 \) from both sides:
\[
-2m = 10 - 24
\]
Simplifying further gives:
\[
-2m = -14
\]
4. Divide both sides by \( -2 \):
\[
m = \frac{-14}{-2} = 7
\]
So the solution is:
\[
\boxed{7}
\]
1. Distribute the \( 4 \) in the expression \( 4(-2m + 6) \):
\[
6m + 4(-2m) + 4(6) = 10
\]
This simplifies to:
\[
6m - 8m + 24 = 10
\]
2. Combine like terms (\( 6m - 8m \)):
\[
-2m + 24 = 10
\]
3. Subtract \( 24 \) from both sides:
\[
-2m = 10 - 24
\]
Simplifying further gives:
\[
-2m = -14
\]
4. Divide both sides by \( -2 \):
\[
m = \frac{-14}{-2} = 7
\]
So the solution is:
\[
\boxed{7}
\]
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