11.5+41.1t=6+3.2(t-4)

Solution for 11.5+41.1t=6+3.2(t-4) equation:

Simplifying
11.5 + 41.1t = 6 + 3.2(t + -4)

Reorder the terms:
11.5 + 41.1t = 6 + 3.2(-4 + t)
11.5 + 41.1t = 6 + (-4 * 3.2 + t * 3.2)
11.5 + 41.1t = 6 + (-12.8 + 3.2t)

Combine like terms: 6 + -12.8 = -6.8
11.5 + 41.1t = -6.8 + 3.2t

Solving
11.5 + 41.1t = -6.8 + 3.2t

Solving for variable 't'.

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

Add '-3.2t' to each side of the equation.
11.5 + 41.1t + -3.2t = -6.8 + 3.2t + -3.2t

Combine like terms: 41.1t + -3.2t = 37.9t
11.5 + 37.9t = -6.8 + 3.2t + -3.2t

Combine like terms: 3.2t + -3.2t = 0.0
11.5 + 37.9t = -6.8 + 0.0
11.5 + 37.9t = -6.8

Add '-11.5' to each side of the equation.
11.5 + -11.5 + 37.9t = -6.8 + -11.5

Combine like terms: 11.5 + -11.5 = 0.0
0.0 + 37.9t = -6.8 + -11.5
37.9t = -6.8 + -11.5

Combine like terms: -6.8 + -11.5 = -18.3
37.9t = -18.3

Divide each side by '37.9'.
t = -0.4828496042

Simplifying
t = -0.4828496042