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

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

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

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

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

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

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

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

Solving
-5 + 12n = 43

Solving for variable 'n'.

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

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

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

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

Divide each side by '12'.
n = 4

Simplifying
n = 4