0.4t+0.9(35-t)=27.5

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Solution for 0.4t+0.9(35-t)=27.5 equation: 


Simplifying
0.4t + 0.9(35 + -1t) = 27.5
0.4t + (35 * 0.9 + -1t * 0.9) = 27.5
0.4t + (31.5 + -0.9t) = 27.5

Reorder the terms:
31.5 + 0.4t + -0.9t = 27.5

Combine like terms: 0.4t + -0.9t = -0.5t
31.5 + -0.5t = 27.5

Solving
31.5 + -0.5t = 27.5

Solving for variable 't'.

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

Add '-31.5' to each side of the equation.
31.5 + -31.5 + -0.5t = 27.5 + -31.5

Combine like terms: 31.5 + -31.5 = 0.0
0.0 + -0.5t = 27.5 + -31.5
-0.5t = 27.5 + -31.5

Combine like terms: 27.5 + -31.5 = -4
-0.5t = -4

Divide each side by '-0.5'.
t = 8

Simplifying
t = 8

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