3[5-3(8m+1)]-2m=

Solution for 3[5-3(8m+1)]-2m= equation:

Simplifying
3[5 + -3(8m + 1)] + -2m = 0

Reorder the terms:
3[5 + -3(1 + 8m)] + -2m = 0
3[5 + (1 * -3 + 8m * -3)] + -2m = 0
3[5 + (-3 + -24m)] + -2m = 0

Combine like terms: 5 + -3 = 2
3[2 + -24m] + -2m = 0
[2 * 3 + -24m * 3] + -2m = 0
[6 + -72m] + -2m = 0

Combine like terms: -72m + -2m = -74m
6 + -74m = 0

Solving
6 + -74m = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -74m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -74m = 0 + -6
-74m = 0 + -6

Combine like terms: 0 + -6 = -6
-74m = -6

Divide each side by '-74'.
m = 0.08108108108

Simplifying
m = 0.08108108108