0.32(t+30.32)=0.40(t+24)

Solution for 0.32(t+30.32)=0.40(t+24) equation:

Simplifying
0.32(t + 30.32) = 0.40(t + 24)

Reorder the terms:
0.32(30.32 + t) = 0.40(t + 24)
(30.32 * 0.32 + t * 0.32) = 0.40(t + 24)
(9.7024 + 0.32t) = 0.40(t + 24)

Reorder the terms:
9.7024 + 0.32t = 0.40(24 + t)
9.7024 + 0.32t = (24 * 0.40 + t * 0.40)
9.7024 + 0.32t = (9.6 + 0.40t)

Solving
9.7024 + 0.32t = 9.6 + 0.40t

Solving for variable 't'.

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

Add '-0.40t' to each side of the equation.
9.7024 + 0.32t + -0.40t = 9.6 + 0.40t + -0.40t

Combine like terms: 0.32t + -0.40t = -0.08t
9.7024 + -0.08t = 9.6 + 0.40t + -0.40t

Combine like terms: 0.40t + -0.40t = 0.00
9.7024 + -0.08t = 9.6 + 0.00
9.7024 + -0.08t = 9.6

Add '-9.7024' to each side of the equation.
9.7024 + -9.7024 + -0.08t = 9.6 + -9.7024

Combine like terms: 9.7024 + -9.7024 = 0.0000
0.0000 + -0.08t = 9.6 + -9.7024
-0.08t = 9.6 + -9.7024

Combine like terms: 9.6 + -9.7024 = -0.1024
-0.08t = -0.1024

Divide each side by '-0.08'.
t = 1.28

Simplifying
t = 1.28