0.1t+0.9(t+0.1)=1.6

Solution for 0.1t+0.9(t+0.1)=1.6 equation:

Simplifying
0.1t + 0.9(t + 0.1) = 1.6

Reorder the terms:
0.1t + 0.9(0.1 + t) = 1.6
0.1t + (0.1 * 0.9 + t * 0.9) = 1.6
0.1t + (0.09 + 0.9t) = 1.6

Reorder the terms:
0.09 + 0.1t + 0.9t = 1.6

Combine like terms: 0.1t + 0.9t = 1t
0.09 + 1t = 1.6

Solving
0.09 + 1t = 1.6

Solving for variable 't'.

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

Add '-0.09' to each side of the equation.
0.09 + -0.09 + 1t = 1.6 + -0.09

Combine like terms: 0.09 + -0.09 = 0.00
0.00 + 1t = 1.6 + -0.09
1t = 1.6 + -0.09

Combine like terms: 1.6 + -0.09 = 1.51
1t = 1.51

Divide each side by '1'.
t = 1.51

Simplifying
t = 1.51