-7(n+3)+6(n-3)=-43

Solution for -7(n+3)+6(n-3)=-43 equation:

Simplifying
-7(n + 3) + 6(n + -3) = -43

Reorder the terms:
-7(3 + n) + 6(n + -3) = -43
(3 * -7 + n * -7) + 6(n + -3) = -43
(-21 + -7n) + 6(n + -3) = -43

Reorder the terms:
-21 + -7n + 6(-3 + n) = -43
-21 + -7n + (-3 * 6 + n * 6) = -43
-21 + -7n + (-18 + 6n) = -43

Reorder the terms:
-21 + -18 + -7n + 6n = -43

Combine like terms: -21 + -18 = -39
-39 + -7n + 6n = -43

Combine like terms: -7n + 6n = -1n
-39 + -1n = -43

Solving
-39 + -1n = -43

Solving for variable 'n'.

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

Add '39' to each side of the equation.
-39 + 39 + -1n = -43 + 39

Combine like terms: -39 + 39 = 0
0 + -1n = -43 + 39
-1n = -43 + 39

Combine like terms: -43 + 39 = -4
-1n = -4

Divide each side by '-1'.
n = 4

Simplifying
n = 4