0.1t+0.05(20-t)=0.09(20)

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Solution for 0.1t+0.05(20-t)=0.09(20) equation: 


Simplifying
0.1t + 0.05(20 + -1t) = 0.09(20)
0.1t + (20 * 0.05 + -1t * 0.05) = 0.09(20)
0.1t + (1 + -0.05t) = 0.09(20)

Reorder the terms:
1 + 0.1t + -0.05t = 0.09(20)

Combine like terms: 0.1t + -0.05t = 0.05t
1 + 0.05t = 0.09(20)

Multiply 0.09 * 20
1 + 0.05t = 1.8

Solving
1 + 0.05t = 1.8

Solving for variable 't'.

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

Add '-1' to each side of the equation.
1 + -1 + 0.05t = 1.8 + -1

Combine like terms: 1 + -1 = 0
0 + 0.05t = 1.8 + -1
0.05t = 1.8 + -1

Combine like terms: 1.8 + -1 = 0.8
0.05t = 0.8

Divide each side by '0.05'.
t = 16

Simplifying
t = 16

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