5.4+14.6-10.1t=12.8-35t-0.6

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Solution for 5.4+14.6-10.1t=12.8-35t-0.6 equation: 


Simplifying
5.4 + 14.6 + -10.1t = 12.8 + -35t + -0.6

Combine like terms: 5.4 + 14.6 = 20
20 + -10.1t = 12.8 + -35t + -0.6

Reorder the terms:
20 + -10.1t = 12.8 + -0.6 + -35t

Combine like terms: 12.8 + -0.6 = 12.2
20 + -10.1t = 12.2 + -35t

Solving
20 + -10.1t = 12.2 + -35t

Solving for variable 't'.

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

Add '35t' to each side of the equation.
20 + -10.1t + 35t = 12.2 + -35t + 35t

Combine like terms: -10.1t + 35t = 24.9t
20 + 24.9t = 12.2 + -35t + 35t

Combine like terms: -35t + 35t = 0
20 + 24.9t = 12.2 + 0
20 + 24.9t = 12.2

Add '-20' to each side of the equation.
20 + -20 + 24.9t = 12.2 + -20

Combine like terms: 20 + -20 = 0
0 + 24.9t = 12.2 + -20
24.9t = 12.2 + -20

Combine like terms: 12.2 + -20 = -7.8
24.9t = -7.8

Divide each side by '24.9'.
t = -0.313253012

Simplifying
t = -0.313253012

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