Solve for t 1.4t-0.4(t-3.1)=5.8

$1.4 t - 0.4 (t - 3.1) = 5.8$

Simplify $1.4 t - 0.4 (t - 3.1)$ .

Simplify each term.

Apply the distributive property.

$1.4 t - 0.4 t - 0.4 \cdot - 3.1 = 5.8$

Multiply $- 0.4$ by $- 3.1$ .

$1.4 t - 0.4 t + 1.24 = 5.8$

Subtract $0.4 t$ from $1.4 t$ .

$t + 1.24 = 5.8$

Move all terms not containing $t$ to the right side of the equation.

Subtract $1.24$ from both sides of the equation.

$t = 5.8 - 1.24$

Subtract $1.24$ from $5.8$ .

$t = 4.56$