0.1t+0.12(100-t)=11.4

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Solution for 0.1t+0.12(100-t)=11.4 equation: 


Simplifying
0.1t + 0.12(100 + -1t) = 11.4
0.1t + (100 * 0.12 + -1t * 0.12) = 11.4
0.1t + (12 + -0.12t) = 11.4

Reorder the terms:
12 + 0.1t + -0.12t = 11.4

Combine like terms: 0.1t + -0.12t = -0.02t
12 + -0.02t = 11.4

Solving
12 + -0.02t = 11.4

Solving for variable 't'.

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

Add '-12' to each side of the equation.
12 + -12 + -0.02t = 11.4 + -12

Combine like terms: 12 + -12 = 0
0 + -0.02t = 11.4 + -12
-0.02t = 11.4 + -12

Combine like terms: 11.4 + -12 = -0.6
-0.02t = -0.6

Divide each side by '-0.02'.
t = 30

Simplifying
t = 30

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