43=n+(n-2)+(n+3)

Solution for 43=n+(n-2)+(n+3) equation:

Simplifying
43 = n + (n + -2) + (n + 3)

Reorder the terms:
43 = n + (-2 + n) + (n + 3)

Remove parenthesis around (-2 + n)
43 = n + -2 + n + (n + 3)

Reorder the terms:
43 = n + -2 + n + (3 + n)

Remove parenthesis around (3 + n)
43 = n + -2 + n + 3 + n

Reorder the terms:
43 = -2 + 3 + n + n + n

Combine like terms: -2 + 3 = 1
43 = 1 + n + n + n

Combine like terms: n + n = 2n
43 = 1 + 2n + n

Combine like terms: 2n + n = 3n
43 = 1 + 3n

Solving
43 = 1 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
43 + -3n = 1 + 3n + -3n

Combine like terms: 3n + -3n = 0
43 + -3n = 1 + 0
43 + -3n = 1

Add '-43' to each side of the equation.
43 + -43 + -3n = 1 + -43

Combine like terms: 43 + -43 = 0
0 + -3n = 1 + -43
-3n = 1 + -43

Combine like terms: 1 + -43 = -42
-3n = -42

Divide each side by '-3'.
n = 14

Simplifying
n = 14