-3(4f+3)+4(6f+1)=43

Solution for -3(4f+3)+4(6f+1)=43 equation:

Simplifying
-3(4f + 3) + 4(6f + 1) = 43

Reorder the terms:
-3(3 + 4f) + 4(6f + 1) = 43
(3 * -3 + 4f * -3) + 4(6f + 1) = 43
(-9 + -12f) + 4(6f + 1) = 43

Reorder the terms:
-9 + -12f + 4(1 + 6f) = 43
-9 + -12f + (1 * 4 + 6f * 4) = 43
-9 + -12f + (4 + 24f) = 43

Reorder the terms:
-9 + 4 + -12f + 24f = 43

Combine like terms: -9 + 4 = -5
-5 + -12f + 24f = 43

Combine like terms: -12f + 24f = 12f
-5 + 12f = 43

Solving
-5 + 12f = 43

Solving for variable 'f'.

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

Add '5' to each side of the equation.
-5 + 5 + 12f = 43 + 5

Combine like terms: -5 + 5 = 0
0 + 12f = 43 + 5
12f = 43 + 5

Combine like terms: 43 + 5 = 48
12f = 48

Divide each side by '12'.
f = 4

Simplifying
f = 4