5.4t+14.6-10.1t=12.8-3.5t-0.6t

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Solution for 5.4t+14.6-10.1t=12.8-3.5t-0.6t equation:


Simplifying
5.4t + 14.6 + -10.1t = 12.8 + -3.5t + -0.6t

Reorder the terms:
14.6 + 5.4t + -10.1t = 12.8 + -3.5t + -0.6t

Combine like terms: 5.4t + -10.1t = -4.7t
14.6 + -4.7t = 12.8 + -3.5t + -0.6t

Combine like terms: -3.5t + -0.6t = -4.1t
14.6 + -4.7t = 12.8 + -4.1t

Solving
14.6 + -4.7t = 12.8 + -4.1t

Solving for variable 't'.

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

Add '4.1t' to each side of the equation.
14.6 + -4.7t + 4.1t = 12.8 + -4.1t + 4.1t

Combine like terms: -4.7t + 4.1t = -0.6t
14.6 + -0.6t = 12.8 + -4.1t + 4.1t

Combine like terms: -4.1t + 4.1t = 0.0
14.6 + -0.6t = 12.8 + 0.0
14.6 + -0.6t = 12.8

Add '-14.6' to each side of the equation.
14.6 + -14.6 + -0.6t = 12.8 + -14.6

Combine like terms: 14.6 + -14.6 = 0.0
0.0 + -0.6t = 12.8 + -14.6
-0.6t = 12.8 + -14.6

Combine like terms: 12.8 + -14.6 = -1.8
-0.6t = -1.8

Divide each side by '-0.6'.
t = 3

Simplifying
t = 3

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