.05t+.012(t+1)=.57

Solution for .05t+.012(t+1)=.57 equation:

Simplifying
0.05t + 0.012(t + 1) = 0.57

Reorder the terms:
0.05t + 0.012(1 + t) = 0.57
0.05t + (1 * 0.012 + t * 0.012) = 0.57
0.05t + (0.012 + 0.012t) = 0.57

Reorder the terms:
0.012 + 0.05t + 0.012t = 0.57

Combine like terms: 0.05t + 0.012t = 0.062t
0.012 + 0.062t = 0.57

Solving
0.012 + 0.062t = 0.57

Solving for variable 't'.

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

Add '-0.012' to each side of the equation.
0.012 + -0.012 + 0.062t = 0.57 + -0.012

Combine like terms: 0.012 + -0.012 = 0.000
0.000 + 0.062t = 0.57 + -0.012
0.062t = 0.57 + -0.012

Combine like terms: 0.57 + -0.012 = 0.558
0.062t = 0.558

Divide each side by '0.062'.
t = 9

Simplifying
t = 9