The given equation is 4m - n = -0.5.

First, we need to isolate n. We can do this by adding n to both sides and subtracting -0.5 from both sides to get n = 4m + 0.5.

Next, we substitute n = 4m + 0.5 into the expression (16m^2n + 27n/96m).

This gives us (16m^2(4m + 0.5) + 27(4m + 0.5)/96m).

Simplify the expression to get (64m^3 + 8m^2 + 108m + 13.5)/96m.

Finally, divide each term by 96m to get the final answer: 2/3m^2 + 1/12m + 9/8 + 0.140625.

Question

The given equation is 4m - n = -0.5.

First, we need to isolate n. We can do this by adding n to both sides and subtracting -0.5 from both sides to get n = 4m + 0.5.

Next, we substitute n = 4m + 0.5 into the expression (16m^2n + 27n/96m).

This gives us (16m^2(4m + 0.5) + 27(4m + 0.5)/96m).

Simplify the expression to get (64m^3 + 8m^2 + 108m + 13.5)/96m.

Finally, divide each term by 96m to get the final answer: 2/3m^2 + 1/12m + 9/8 + 0.140625.

Knowee AI · Accepted Answer

The given equation is 4m - n = -0.5.

First, we need to isolate n. We can do this by adding n to both sides and subtracting -0.5 from both sides to get n = 4m + 0.5.

Next, we substitute n = 4m + 0.5 into the expression (16m^2n + 27n/96m).

This gives us (16m^2(4m + 0.5) + 27(4m + 0.5)/96m).

Simplify the expression to get (64m^3 + 8m^2 + 108m + 13.5)/96m.

Finally, divide each term by 96m to get the final answer: 2/3m^2 + 1/12m + 9/8 + 0.140625.

If 4𝑚−𝑛=4m−n= -0.5, then the value of (16𝑚2𝑛+27𝑛96𝑚)( 2 n 16 m + 9 6m 27 n ) is