-2(-3f+14)+1=3f-6

Solution for -2(-3f+14)+1=3f-6 equation:

Simplifying
-2(-3f + 14) + 1 = 3f + -6

Reorder the terms:
-2(14 + -3f) + 1 = 3f + -6
(14 * -2 + -3f * -2) + 1 = 3f + -6
(-28 + 6f) + 1 = 3f + -6

Reorder the terms:
-28 + 1 + 6f = 3f + -6

Combine like terms: -28 + 1 = -27
-27 + 6f = 3f + -6

Reorder the terms:
-27 + 6f = -6 + 3f

Solving
-27 + 6f = -6 + 3f

Solving for variable 'f'.

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

Add '-3f' to each side of the equation.
-27 + 6f + -3f = -6 + 3f + -3f

Combine like terms: 6f + -3f = 3f
-27 + 3f = -6 + 3f + -3f

Combine like terms: 3f + -3f = 0
-27 + 3f = -6 + 0
-27 + 3f = -6

Add '27' to each side of the equation.
-27 + 27 + 3f = -6 + 27

Combine like terms: -27 + 27 = 0
0 + 3f = -6 + 27
3f = -6 + 27

Combine like terms: -6 + 27 = 21
3f = 21

Divide each side by '3'.
f = 7

Simplifying
f = 7