.5-(t-6)=10.4-.4(1-t)

Solution for .5-(t-6)=10.4-.4(1-t) equation:

Simplifying
0.5 + -1(t + -6) = 10.4 + -0.4(1 + -1t)

Reorder the terms:
0.5 + -1(-6 + t) = 10.4 + -0.4(1 + -1t)
0.5 + (-6 * -1 + t * -1) = 10.4 + -0.4(1 + -1t)
0.5 + (6 + -1t) = 10.4 + -0.4(1 + -1t)

Combine like terms: 0.5 + 6 = 6.5
6.5 + -1t = 10.4 + -0.4(1 + -1t)
6.5 + -1t = 10.4 + (1 * -0.4 + -1t * -0.4)
6.5 + -1t = 10.4 + (-0.4 + 0.4t)

Combine like terms: 10.4 + -0.4 = 10
6.5 + -1t = 10 + 0.4t

Solving
6.5 + -1t = 10 + 0.4t

Solving for variable 't'.

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

Add '-0.4t' to each side of the equation.
6.5 + -1t + -0.4t = 10 + 0.4t + -0.4t

Combine like terms: -1t + -0.4t = -1.4t
6.5 + -1.4t = 10 + 0.4t + -0.4t

Combine like terms: 0.4t + -0.4t = 0.0
6.5 + -1.4t = 10 + 0.0
6.5 + -1.4t = 10

Add '-6.5' to each side of the equation.
6.5 + -6.5 + -1.4t = 10 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + -1.4t = 10 + -6.5
-1.4t = 10 + -6.5

Combine like terms: 10 + -6.5 = 3.5
-1.4t = 3.5

Divide each side by '-1.4'.
t = -2.5

Simplifying
t = -2.5