7-3f=4(3f-1)-2f

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Solution for 7-3f=4(3f-1)-2f equation:


Simplifying
7 + -3f = 4(3f + -1) + -2f

Reorder the terms:
7 + -3f = 4(-1 + 3f) + -2f
7 + -3f = (-1 * 4 + 3f * 4) + -2f
7 + -3f = (-4 + 12f) + -2f

Combine like terms: 12f + -2f = 10f
7 + -3f = -4 + 10f

Solving
7 + -3f = -4 + 10f

Solving for variable 'f'.

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

Add '-10f' to each side of the equation.
7 + -3f + -10f = -4 + 10f + -10f

Combine like terms: -3f + -10f = -13f
7 + -13f = -4 + 10f + -10f

Combine like terms: 10f + -10f = 0
7 + -13f = -4 + 0
7 + -13f = -4

Add '-7' to each side of the equation.
7 + -7 + -13f = -4 + -7

Combine like terms: 7 + -7 = 0
0 + -13f = -4 + -7
-13f = -4 + -7

Combine like terms: -4 + -7 = -11
-13f = -11

Divide each side by '-13'.
f = 0.8461538462

Simplifying
f = 0.8461538462

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