7(2+f)=3(4-2f)

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Solution for 7(2+f)=3(4-2f) equation:


Simplifying
7(2 + f) = 3(4 + -2f)
(2 * 7 + f * 7) = 3(4 + -2f)
(14 + 7f) = 3(4 + -2f)
14 + 7f = (4 * 3 + -2f * 3)
14 + 7f = (12 + -6f)

Solving
14 + 7f = 12 + -6f

Solving for variable 'f'.

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

Add '6f' to each side of the equation.
14 + 7f + 6f = 12 + -6f + 6f

Combine like terms: 7f + 6f = 13f
14 + 13f = 12 + -6f + 6f

Combine like terms: -6f + 6f = 0
14 + 13f = 12 + 0
14 + 13f = 12

Add '-14' to each side of the equation.
14 + -14 + 13f = 12 + -14

Combine like terms: 14 + -14 = 0
0 + 13f = 12 + -14
13f = 12 + -14

Combine like terms: 12 + -14 = -2
13f = -2

Divide each side by '13'.
f = -0.1538461538

Simplifying
f = -0.1538461538

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