6=2(3+4)+(n-7)

Solution for 6=2(3+4)+(n-7) equation:

Simplifying
6 = 2(3 + 4) + (n + -7)

Combine like terms: 3 + 4 = 7
6 = 2(7) + (n + -7)

Multiply 2 * 7
6 = 14 + (n + -7)

Reorder the terms:
6 = 14 + (-7 + n)

Remove parenthesis around (-7 + n)
6 = 14 + -7 + n

Combine like terms: 14 + -7 = 7
6 = 7 + n

Solving
6 = 7 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
6 + -1n = 7 + n + -1n

Combine like terms: n + -1n = 0
6 + -1n = 7 + 0
6 + -1n = 7

Add '-6' to each side of the equation.
6 + -6 + -1n = 7 + -6

Combine like terms: 6 + -6 = 0
0 + -1n = 7 + -6
-1n = 7 + -6

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

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

Simplifying
n = -1