.25(f+34)=10

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Solution for .25(f+34)=10 equation: 


Simplifying
0.25(f + 34) = 10

Reorder the terms:
0.25(34 + f) = 10
(34 * 0.25 + f * 0.25) = 10
(8.5 + 0.25f) = 10

Solving
8.5 + 0.25f = 10

Solving for variable 'f'.

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

Add '-8.5' to each side of the equation.
8.5 + -8.5 + 0.25f = 10 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + 0.25f = 10 + -8.5
0.25f = 10 + -8.5

Combine like terms: 10 + -8.5 = 1.5
0.25f = 1.5

Divide each side by '0.25'.
f = 6

Simplifying
f = 6

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