Question

What value of M satisfies the equation 6(4m-3) 6=4(4m 11)

Answer 1

To solve the equation 6(4m-3) + 6 = 4(4m + 11), we simplify and isolate m to find that the value of M satisfying the equation is 7.

Step-by-step explanation:

To find the value of M that satisfies the equation 6(4m-3) + 6 = 4(4m + 11), we need to follow these steps:

1. Distribute the 6 through the parentheses on the left side: 24m - 18 + 6.
2. Distribute the 4 through the parentheses on the right side: 16m + 44.
3. Simplify both sides of the equation: 24m - 12 = 16m + 44.
4. Subtract 16m from both sides to get the m terms on one side: 8m - 12 = 44.
5. Add 12 to both sides to isolate the m term: 8m = 56.
6. Divide by 8 to solve for m: m = 7.

Therefore, the value of M that satisfies the equation is 7.