What is the solution to −(6m+8)=4(17−m)-(6𝑚+8)=4(17-𝑚)?
Question
What is the solution to −(6m+8)=4(17−m)-(6𝑚+8)=4(17-𝑚)?
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Solution
First, let's simplify both sides of the equation:
−(6m+8) = 4(17−m)
This simplifies to:
-6m - 8 = 68 - 4m
Next, let's get all the m terms on one side and the constant terms on the other side. We can do this by adding 6m to both sides and subtracting 68 from both sides:
-8 + 68 = -4m + 6m
This simplifies to:
60 = 2m
Finally, we can solve for m by dividing both sides by 2:
m = 60 / 2
So, the solution to the equation is m = 30.
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