0.95t+0.05(100-t)=0.27(100)

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Solution for 0.95t+0.05(100-t)=0.27(100) equation:


Simplifying
0.95t + 0.05(100 + -1t) = 0.27(100)
0.95t + (100 * 0.05 + -1t * 0.05) = 0.27(100)
0.95t + (5 + -0.05t) = 0.27(100)

Reorder the terms:
5 + 0.95t + -0.05t = 0.27(100)

Combine like terms: 0.95t + -0.05t = 0.9t
5 + 0.9t = 0.27(100)

Multiply 0.27 * 100
5 + 0.9t = 27

Solving
5 + 0.9t = 27

Solving for variable 't'.

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

Add '-5' to each side of the equation.
5 + -5 + 0.9t = 27 + -5

Combine like terms: 5 + -5 = 0
0 + 0.9t = 27 + -5
0.9t = 27 + -5

Combine like terms: 27 + -5 = 22
0.9t = 22

Divide each side by '0.9'.
t = 24.44444444

Simplifying
t = 24.44444444

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