6.8(f+3)=4.5f+45.7

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Solution for 6.8(f+3)=4.5f+45.7 equation: 


Simplifying
6.8(f + 3) = 4.5f + 45.7

Reorder the terms:
6.8(3 + f) = 4.5f + 45.7
(3 * 6.8 + f * 6.8) = 4.5f + 45.7
(20.4 + 6.8f) = 4.5f + 45.7

Reorder the terms:
20.4 + 6.8f = 45.7 + 4.5f

Solving
20.4 + 6.8f = 45.7 + 4.5f

Solving for variable 'f'.

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

Add '-4.5f' to each side of the equation.
20.4 + 6.8f + -4.5f = 45.7 + 4.5f + -4.5f

Combine like terms: 6.8f + -4.5f = 2.3f
20.4 + 2.3f = 45.7 + 4.5f + -4.5f

Combine like terms: 4.5f + -4.5f = 0.0
20.4 + 2.3f = 45.7 + 0.0
20.4 + 2.3f = 45.7

Add '-20.4' to each side of the equation.
20.4 + -20.4 + 2.3f = 45.7 + -20.4

Combine like terms: 20.4 + -20.4 = 0.0
0.0 + 2.3f = 45.7 + -20.4
2.3f = 45.7 + -20.4

Combine like terms: 45.7 + -20.4 = 25.3
2.3f = 25.3

Divide each side by '2.3'.
f = 11

Simplifying
f = 11

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