Question

Review (1)/(4m+1)+3=-(1)/(5) for m Enter your next step here

Answer 1

To solve the equation (1)/(4m+1)+3=-(1)/(5) for m, follow the steps: subtract 3 from both sides, find a common denominator, cross multiply, simplify, add 7 to both sides, divide by -28, simplify the fraction. The solution is m = -3/7.

Step-by-step explanation:

To solve the equation (1)/(4m+1)+3=-(1)/(5) for m, we can follow these steps:

1. Subtract 3 from both sides of the equation: (1)/(4m+1) = -(1)/(5) - 3
2. Find a common denominator for the fractions on the right side of the equation: (1)/(4m+1) = -(6+1)/(5)
3. Combine the fractions on the right side: (1)/(4m+1) = -7/(5)
4. Cross multiply: 5 * 1 = -7 * (4m+1)
5. Simplify: 5 = -28m - 7
6. Add 7 to both sides of the equation: 5 + 7 = -28m
7. Simplify: 12 = -28m
8. Divide both sides of the equation by -28: m = -12/28
9. Simplify the fraction: m = -3/7

Therefore, the solution to the equation is m = -3/7.