3(2f-39)=-(7-f)

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Solution for 3(2f-39)=-(7-f) equation:


Simplifying
3(2f + -39) = -1(7 + -1f)

Reorder the terms:
3(-39 + 2f) = -1(7 + -1f)
(-39 * 3 + 2f * 3) = -1(7 + -1f)
(-117 + 6f) = -1(7 + -1f)
-117 + 6f = (7 * -1 + -1f * -1)
-117 + 6f = (-7 + 1f)

Solving
-117 + 6f = -7 + 1f

Solving for variable 'f'.

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

Add '-1f' to each side of the equation.
-117 + 6f + -1f = -7 + 1f + -1f

Combine like terms: 6f + -1f = 5f
-117 + 5f = -7 + 1f + -1f

Combine like terms: 1f + -1f = 0
-117 + 5f = -7 + 0
-117 + 5f = -7

Add '117' to each side of the equation.
-117 + 117 + 5f = -7 + 117

Combine like terms: -117 + 117 = 0
0 + 5f = -7 + 117
5f = -7 + 117

Combine like terms: -7 + 117 = 110
5f = 110

Divide each side by '5'.
f = 22

Simplifying
f = 22

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