7.8+2(0.75m+0.4)=-6.4m+4(0.5m-0.8)

Solution for 7.8+2(0.75m+0.4)=-6.4m+4(0.5m-0.8) equation:

Simplifying
7.8 + 2(0.75m + 0.4) = -6.4m + 4(0.5m + -0.8)

Reorder the terms:
7.8 + 2(0.4 + 0.75m) = -6.4m + 4(0.5m + -0.8)
7.8 + (0.4 * 2 + 0.75m * 2) = -6.4m + 4(0.5m + -0.8)
7.8 + (0.8 + 1.5m) = -6.4m + 4(0.5m + -0.8)

Combine like terms: 7.8 + 0.8 = 8.6
8.6 + 1.5m = -6.4m + 4(0.5m + -0.8)

Reorder the terms:
8.6 + 1.5m = -6.4m + 4(-0.8 + 0.5m)
8.6 + 1.5m = -6.4m + (-0.8 * 4 + 0.5m * 4)
8.6 + 1.5m = -6.4m + (-3.2 + 2m)

Reorder the terms:
8.6 + 1.5m = -3.2 + -6.4m + 2m

Combine like terms: -6.4m + 2m = -4.4m
8.6 + 1.5m = -3.2 + -4.4m

Solving
8.6 + 1.5m = -3.2 + -4.4m

Solving for variable 'm'.

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

Add '4.4m' to each side of the equation.
8.6 + 1.5m + 4.4m = -3.2 + -4.4m + 4.4m

Combine like terms: 1.5m + 4.4m = 5.9m
8.6 + 5.9m = -3.2 + -4.4m + 4.4m

Combine like terms: -4.4m + 4.4m = 0.0
8.6 + 5.9m = -3.2 + 0.0
8.6 + 5.9m = -3.2

Add '-8.6' to each side of the equation.
8.6 + -8.6 + 5.9m = -3.2 + -8.6

Combine like terms: 8.6 + -8.6 = 0.0
0.0 + 5.9m = -3.2 + -8.6
5.9m = -3.2 + -8.6

Combine like terms: -3.2 + -8.6 = -11.8
5.9m = -11.8

Divide each side by '5.9'.
m = -2

Simplifying
m = -2