3(f+4)+6(f+6)=

Solution for 3(f+4)+6(f+6)= equation:

Simplifying
3(f + 4) + 6(f + 6) = 0

Reorder the terms:
3(4 + f) + 6(f + 6) = 0
(4 * 3 + f * 3) + 6(f + 6) = 0
(12 + 3f) + 6(f + 6) = 0

Reorder the terms:
12 + 3f + 6(6 + f) = 0
12 + 3f + (6 * 6 + f * 6) = 0
12 + 3f + (36 + 6f) = 0

Reorder the terms:
12 + 36 + 3f + 6f = 0

Combine like terms: 12 + 36 = 48
48 + 3f + 6f = 0

Combine like terms: 3f + 6f = 9f
48 + 9f = 0

Solving
48 + 9f = 0

Solving for variable 'f'.

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

Add '-48' to each side of the equation.
48 + -48 + 9f = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 9f = 0 + -48
9f = 0 + -48

Combine like terms: 0 + -48 = -48
9f = -48

Divide each side by '9'.
f = -5.333333333

Simplifying
f = -5.333333333