5*t+8*(0.7-t)=6

Solution for 5*t+8*(0.7-t)=6 equation:

Simplifying
5t + 8(0.7 + -1t) = 6
5t + (0.7 * 8 + -1t * 8) = 6
5t + (5.6 + -8t) = 6

Reorder the terms:
5.6 + 5t + -8t = 6

Combine like terms: 5t + -8t = -3t
5.6 + -3t = 6

Solving
5.6 + -3t = 6

Solving for variable 't'.

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

Add '-5.6' to each side of the equation.
5.6 + -5.6 + -3t = 6 + -5.6

Combine like terms: 5.6 + -5.6 = 0.0
0.0 + -3t = 6 + -5.6
-3t = 6 + -5.6

Combine like terms: 6 + -5.6 = 0.4
-3t = 0.4

Divide each side by '-3'.
t = -0.1333333333

Simplifying
t = -0.1333333333