0.1t+0.5(30-t)=10.2

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Solution for 0.1t+0.5(30-t)=10.2 equation: 


Simplifying
0.1t + 0.5(30 + -1t) = 10.2
0.1t + (30 * 0.5 + -1t * 0.5) = 10.2
0.1t + (15 + -0.5t) = 10.2

Reorder the terms:
15 + 0.1t + -0.5t = 10.2

Combine like terms: 0.1t + -0.5t = -0.4t
15 + -0.4t = 10.2

Solving
15 + -0.4t = 10.2

Solving for variable 't'.

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

Add '-15' to each side of the equation.
15 + -15 + -0.4t = 10.2 + -15

Combine like terms: 15 + -15 = 0
0 + -0.4t = 10.2 + -15
-0.4t = 10.2 + -15

Combine like terms: 10.2 + -15 = -4.8
-0.4t = -4.8

Divide each side by '-0.4'.
t = 12

Simplifying
t = 12

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