6(-2.3t+3.8)=78

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Solution for 6(-2.3t+3.8)=78 equation: 


Simplifying
6(-2.3t + 3.8) = 78

Reorder the terms:
6(3.8 + -2.3t) = 78
(3.8 * 6 + -2.3t * 6) = 78
(22.8 + -13.8t) = 78

Solving
22.8 + -13.8t = 78

Solving for variable 't'.

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

Add '-22.8' to each side of the equation.
22.8 + -22.8 + -13.8t = 78 + -22.8

Combine like terms: 22.8 + -22.8 = 0.0
0.0 + -13.8t = 78 + -22.8
-13.8t = 78 + -22.8

Combine like terms: 78 + -22.8 = 55.2
-13.8t = 55.2

Divide each side by '-13.8'.
t = -4

Simplifying
t = -4

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