0.6(82+t)=5t+33.8

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Solution for 0.6(82+t)=5t+33.8 equation: 


Simplifying
0.6(82 + t) = 5t + 33.8
(82 * 0.6 + t * 0.6) = 5t + 33.8
(49.2 + 0.6t) = 5t + 33.8

Reorder the terms:
49.2 + 0.6t = 33.8 + 5t

Solving
49.2 + 0.6t = 33.8 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
49.2 + 0.6t + -5t = 33.8 + 5t + -5t

Combine like terms: 0.6t + -5t = -4.4t
49.2 + -4.4t = 33.8 + 5t + -5t

Combine like terms: 5t + -5t = 0
49.2 + -4.4t = 33.8 + 0
49.2 + -4.4t = 33.8

Add '-49.2' to each side of the equation.
49.2 + -49.2 + -4.4t = 33.8 + -49.2

Combine like terms: 49.2 + -49.2 = 0.0
0.0 + -4.4t = 33.8 + -49.2
-4.4t = 33.8 + -49.2

Combine like terms: 33.8 + -49.2 = -15.4
-4.4t = -15.4

Divide each side by '-4.4'.
t = 3.5

Simplifying
t = 3.5

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