0.4(3t+1)=0.12(t+1)-0.8

Solution for 0.4(3t+1)=0.12(t+1)-0.8 equation:

Simplifying
0.4(3t + 1) = 0.12(t + 1) + -0.8

Reorder the terms:
0.4(1 + 3t) = 0.12(t + 1) + -0.8
(1 * 0.4 + 3t * 0.4) = 0.12(t + 1) + -0.8
(0.4 + 1.2t) = 0.12(t + 1) + -0.8

Reorder the terms:
0.4 + 1.2t = 0.12(1 + t) + -0.8
0.4 + 1.2t = (1 * 0.12 + t * 0.12) + -0.8
0.4 + 1.2t = (0.12 + 0.12t) + -0.8

Reorder the terms:
0.4 + 1.2t = 0.12 + -0.8 + 0.12t

Combine like terms: 0.12 + -0.8 = -0.68
0.4 + 1.2t = -0.68 + 0.12t

Solving
0.4 + 1.2t = -0.68 + 0.12t

Solving for variable 't'.

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

Add '-0.12t' to each side of the equation.
0.4 + 1.2t + -0.12t = -0.68 + 0.12t + -0.12t

Combine like terms: 1.2t + -0.12t = 1.08t
0.4 + 1.08t = -0.68 + 0.12t + -0.12t

Combine like terms: 0.12t + -0.12t = 0.00
0.4 + 1.08t = -0.68 + 0.00
0.4 + 1.08t = -0.68

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 1.08t = -0.68 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 1.08t = -0.68 + -0.4
1.08t = -0.68 + -0.4

Combine like terms: -0.68 + -0.4 = -1.08
1.08t = -1.08

Divide each side by '1.08'.
t = -1

Simplifying
t = -1