Solve for \( m \).
\[
\frac{2}{7}(4m - 18) = 12
\]
Answer (2)
To solve the equation 2/7(4m-18)=12, we will follow mathematical operations step by step.
First, let's isolate the term with m by multiplying both sides of the equation by 7/2 to get rid of the fraction on the left side:
2/7(4m - 18) × 7/2 = 12 × 7/2
(4m - 18) = 12 × 7/2
(4m - 18) = 42
Next, add 18 to both sides of the equation to isolate the term 4m:
4m - 18 + 18 = 42 + 18
4m = 60
Finally, divide both sides by 4 to solve for m:
4m/4 = 60/4
m = 15
To solve the equation 7 2 ( 4 m − 18 ) = 12 , multiply both sides by 7, then distribute, add 36, and finally divide by 8 to find that m = 15 .
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