0.15t+0.85(100-t)=0.45(100)

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Solution for 0.15t+0.85(100-t)=0.45(100) equation: 


Simplifying
0.15t + 0.85(100 + -1t) = 0.45(100)
0.15t + (100 * 0.85 + -1t * 0.85) = 0.45(100)
0.15t + (85 + -0.85t) = 0.45(100)

Reorder the terms:
85 + 0.15t + -0.85t = 0.45(100)

Combine like terms: 0.15t + -0.85t = -0.7t
85 + -0.7t = 0.45(100)

Multiply 0.45 * 100
85 + -0.7t = 45

Solving
85 + -0.7t = 45

Solving for variable 't'.

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

Add '-85' to each side of the equation.
85 + -85 + -0.7t = 45 + -85

Combine like terms: 85 + -85 = 0
0 + -0.7t = 45 + -85
-0.7t = 45 + -85

Combine like terms: 45 + -85 = -40
-0.7t = -40

Divide each side by '-0.7'.
t = 57.14285714

Simplifying
t = 57.14285714

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