40.5t+283.5=56.7t+396.9

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Solution for 40.5t+283.5=56.7t+396.9 equation: 


Simplifying
40.5t + 283.5 = 56.7t + 396.9

Reorder the terms:
283.5 + 40.5t = 56.7t + 396.9

Reorder the terms:
283.5 + 40.5t = 396.9 + 56.7t

Solving
283.5 + 40.5t = 396.9 + 56.7t

Solving for variable 't'.

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

Add '-56.7t' to each side of the equation.
283.5 + 40.5t + -56.7t = 396.9 + 56.7t + -56.7t

Combine like terms: 40.5t + -56.7t = -16.2t
283.5 + -16.2t = 396.9 + 56.7t + -56.7t

Combine like terms: 56.7t + -56.7t = 0.0
283.5 + -16.2t = 396.9 + 0.0
283.5 + -16.2t = 396.9

Add '-283.5' to each side of the equation.
283.5 + -283.5 + -16.2t = 396.9 + -283.5

Combine like terms: 283.5 + -283.5 = 0.0
0.0 + -16.2t = 396.9 + -283.5
-16.2t = 396.9 + -283.5

Combine like terms: 396.9 + -283.5 = 113.4
-16.2t = 113.4

Divide each side by '-16.2'.
t = -7

Simplifying
t = -7

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