5(6+3f)+2(2-3f)=

Solution for 5(6+3f)+2(2-3f)= equation:

Simplifying
5(6 + 3f) + 2(2 + -3f) = 0
(6 * 5 + 3f * 5) + 2(2 + -3f) = 0
(30 + 15f) + 2(2 + -3f) = 0
30 + 15f + (2 * 2 + -3f * 2) = 0
30 + 15f + (4 + -6f) = 0

Reorder the terms:
30 + 4 + 15f + -6f = 0

Combine like terms: 30 + 4 = 34
34 + 15f + -6f = 0

Combine like terms: 15f + -6f = 9f
34 + 9f = 0

Solving
34 + 9f = 0

Solving for variable 'f'.

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

Add '-34' to each side of the equation.
34 + -34 + 9f = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 9f = 0 + -34
9f = 0 + -34

Combine like terms: 0 + -34 = -34
9f = -34

Divide each side by '9'.
f = -3.777777778

Simplifying
f = -3.777777778