5.4+4.6-10.1t=12.8-3.5t-0.6

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Solution for 5.4+4.6-10.1t=12.8-3.5t-0.6 equation: 


Simplifying
5.4 + 4.6 + -10.1t = 12.8 + -3.5t + -0.6

Combine like terms: 5.4 + 4.6 = 10
10 + -10.1t = 12.8 + -3.5t + -0.6

Reorder the terms:
10 + -10.1t = 12.8 + -0.6 + -3.5t

Combine like terms: 12.8 + -0.6 = 12.2
10 + -10.1t = 12.2 + -3.5t

Solving
10 + -10.1t = 12.2 + -3.5t

Solving for variable 't'.

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

Add '3.5t' to each side of the equation.
10 + -10.1t + 3.5t = 12.2 + -3.5t + 3.5t

Combine like terms: -10.1t + 3.5t = -6.6t
10 + -6.6t = 12.2 + -3.5t + 3.5t

Combine like terms: -3.5t + 3.5t = 0.0
10 + -6.6t = 12.2 + 0.0
10 + -6.6t = 12.2

Add '-10' to each side of the equation.
10 + -10 + -6.6t = 12.2 + -10

Combine like terms: 10 + -10 = 0
0 + -6.6t = 12.2 + -10
-6.6t = 12.2 + -10

Combine like terms: 12.2 + -10 = 2.2
-6.6t = 2.2

Divide each side by '-6.6'.
t = -0.3333333333

Simplifying
t = -0.3333333333

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