=7l-2[3(5l-m)-2(4l+m)]

Solution for =7l-2[3(5l-m)-2(4l+m)] equation:

Simplifying
0 = 7l + -2[3(5l + -1m) + -2(4l + m)]
0 = 7l + -2[(5l * 3 + -1m * 3) + -2(4l + m)]
0 = 7l + -2[(15l + -3m) + -2(4l + m)]
0 = 7l + -2[15l + -3m + (4l * -2 + m * -2)]
0 = 7l + -2[15l + -3m + (-8l + -2m)]

Reorder the terms:
0 = 7l + -2[15l + -8l + -3m + -2m]

Combine like terms: 15l + -8l = 7l
0 = 7l + -2[7l + -3m + -2m]

Combine like terms: -3m + -2m = -5m
0 = 7l + -2[7l + -5m]
0 = 7l + [7l * -2 + -5m * -2]
0 = 7l + [-14l + 10m]

Combine like terms: 7l + -14l = -7l
0 = -7l + 10m

Solving
0 = -7l + 10m

Solving for variable 'l'.

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

Add '7l' to each side of the equation.
0 + 7l = -7l + 7l + 10m
Remove the zero:
7l = -7l + 7l + 10m

Combine like terms: -7l + 7l = 0
7l = 0 + 10m
7l = 10m

Divide each side by '7'.
l = 1.428571429m

Simplifying
l = 1.428571429m