0.4(82+t)=4t+27.4

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Solution for 0.4(82+t)=4t+27.4 equation: 


Simplifying
0.4(82 + t) = 4t + 27.4
(82 * 0.4 + t * 0.4) = 4t + 27.4
(32.8 + 0.4t) = 4t + 27.4

Reorder the terms:
32.8 + 0.4t = 27.4 + 4t

Solving
32.8 + 0.4t = 27.4 + 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.
32.8 + 0.4t + -4t = 27.4 + 4t + -4t

Combine like terms: 0.4t + -4t = -3.6t
32.8 + -3.6t = 27.4 + 4t + -4t

Combine like terms: 4t + -4t = 0
32.8 + -3.6t = 27.4 + 0
32.8 + -3.6t = 27.4

Add '-32.8' to each side of the equation.
32.8 + -32.8 + -3.6t = 27.4 + -32.8

Combine like terms: 32.8 + -32.8 = 0.0
0.0 + -3.6t = 27.4 + -32.8
-3.6t = 27.4 + -32.8

Combine like terms: 27.4 + -32.8 = -5.4
-3.6t = -5.4

Divide each side by '-3.6'.
t = 1.5

Simplifying
t = 1.5

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