-106=2(7n+3)

Solution for -106=2(7n+3) equation:

Simplifying
-106 = 2(7n + 3)

Reorder the terms:
-106 = 2(3 + 7n)
-106 = (3 * 2 + 7n * 2)
-106 = (6 + 14n)

Solving
-106 = 6 + 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
-106 + -14n = 6 + 14n + -14n

Combine like terms: 14n + -14n = 0
-106 + -14n = 6 + 0
-106 + -14n = 6

Add '106' to each side of the equation.
-106 + 106 + -14n = 6 + 106

Combine like terms: -106 + 106 = 0
0 + -14n = 6 + 106
-14n = 6 + 106

Combine like terms: 6 + 106 = 112
-14n = 112

Divide each side by '-14'.
n = -8

Simplifying
n = -8