0.2(82+t)=4t+3.1

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Solution for 0.2(82+t)=4t+3.1 equation: 


Simplifying
0.2(82 + t) = 4t + 3.1
(82 * 0.2 + t * 0.2) = 4t + 3.1
(16.4 + 0.2t) = 4t + 3.1

Reorder the terms:
16.4 + 0.2t = 3.1 + 4t

Solving
16.4 + 0.2t = 3.1 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
16.4 + 0.2t + -4t = 3.1 + 4t + -4t

Combine like terms: 0.2t + -4t = -3.8t
16.4 + -3.8t = 3.1 + 4t + -4t

Combine like terms: 4t + -4t = 0
16.4 + -3.8t = 3.1 + 0
16.4 + -3.8t = 3.1

Add '-16.4' to each side of the equation.
16.4 + -16.4 + -3.8t = 3.1 + -16.4

Combine like terms: 16.4 + -16.4 = 0.0
0.0 + -3.8t = 3.1 + -16.4
-3.8t = 3.1 + -16.4

Combine like terms: 3.1 + -16.4 = -13.3
-3.8t = -13.3

Divide each side by '-3.8'.
t = 3.5

Simplifying
t = 3.5

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