3(2f+9)=-(7-f)

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Solution for 3(2f+9)=-(7-f) equation:


Simplifying
3(2f + 9) = -1(7 + -1f)

Reorder the terms:
3(9 + 2f) = -1(7 + -1f)
(9 * 3 + 2f * 3) = -1(7 + -1f)
(27 + 6f) = -1(7 + -1f)
27 + 6f = (7 * -1 + -1f * -1)
27 + 6f = (-7 + 1f)

Solving
27 + 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.
27 + 6f + -1f = -7 + 1f + -1f

Combine like terms: 6f + -1f = 5f
27 + 5f = -7 + 1f + -1f

Combine like terms: 1f + -1f = 0
27 + 5f = -7 + 0
27 + 5f = -7

Add '-27' to each side of the equation.
27 + -27 + 5f = -7 + -27

Combine like terms: 27 + -27 = 0
0 + 5f = -7 + -27
5f = -7 + -27

Combine like terms: -7 + -27 = -34
5f = -34

Divide each side by '5'.
f = -6.8

Simplifying
f = -6.8

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