2f+3(2f+2)=4(f-3)+30

Solution for 2f+3(2f+2)=4(f-3)+30 equation:

Simplifying
2f + 3(2f + 2) = 4(f + -3) + 30

Reorder the terms:
2f + 3(2 + 2f) = 4(f + -3) + 30
2f + (2 * 3 + 2f * 3) = 4(f + -3) + 30
2f + (6 + 6f) = 4(f + -3) + 30

Reorder the terms:
6 + 2f + 6f = 4(f + -3) + 30

Combine like terms: 2f + 6f = 8f
6 + 8f = 4(f + -3) + 30

Reorder the terms:
6 + 8f = 4(-3 + f) + 30
6 + 8f = (-3 * 4 + f * 4) + 30
6 + 8f = (-12 + 4f) + 30

Reorder the terms:
6 + 8f = -12 + 30 + 4f

Combine like terms: -12 + 30 = 18
6 + 8f = 18 + 4f

Solving
6 + 8f = 18 + 4f

Solving for variable 'f'.

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

Add '-4f' to each side of the equation.
6 + 8f + -4f = 18 + 4f + -4f

Combine like terms: 8f + -4f = 4f
6 + 4f = 18 + 4f + -4f

Combine like terms: 4f + -4f = 0
6 + 4f = 18 + 0
6 + 4f = 18

Add '-6' to each side of the equation.
6 + -6 + 4f = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 4f = 18 + -6
4f = 18 + -6

Combine like terms: 18 + -6 = 12
4f = 12

Divide each side by '4'.
f = 3

Simplifying
f = 3