5.4t+1.46-10.1t=12.8-3.5t-0.6

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Solution for 5.4t+1.46-10.1t=12.8-3.5t-0.6 equation: 


Simplifying
5.4t + 1.46 + -10.1t = 12.8 + -3.5t + -0.6

Reorder the terms:
1.46 + 5.4t + -10.1t = 12.8 + -3.5t + -0.6

Combine like terms: 5.4t + -10.1t = -4.7t
1.46 + -4.7t = 12.8 + -3.5t + -0.6

Reorder the terms:
1.46 + -4.7t = 12.8 + -0.6 + -3.5t

Combine like terms: 12.8 + -0.6 = 12.2
1.46 + -4.7t = 12.2 + -3.5t

Solving
1.46 + -4.7t = 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.
1.46 + -4.7t + 3.5t = 12.2 + -3.5t + 3.5t

Combine like terms: -4.7t + 3.5t = -1.2t
1.46 + -1.2t = 12.2 + -3.5t + 3.5t

Combine like terms: -3.5t + 3.5t = 0.0
1.46 + -1.2t = 12.2 + 0.0
1.46 + -1.2t = 12.2

Add '-1.46' to each side of the equation.
1.46 + -1.46 + -1.2t = 12.2 + -1.46

Combine like terms: 1.46 + -1.46 = 0.00
0.00 + -1.2t = 12.2 + -1.46
-1.2t = 12.2 + -1.46

Combine like terms: 12.2 + -1.46 = 10.74
-1.2t = 10.74

Divide each side by '-1.2'.
t = -8.95

Simplifying
t = -8.95

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