6=2(10n+7)

Solution for 6=2(10n+7) equation:

Simplifying
6 = 2(10n + 7)

Reorder the terms:
6 = 2(7 + 10n)
6 = (7 * 2 + 10n * 2)
6 = (14 + 20n)

Solving
6 = 14 + 20n

Solving for variable 'n'.

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

Add '-20n' to each side of the equation.
6 + -20n = 14 + 20n + -20n

Combine like terms: 20n + -20n = 0
6 + -20n = 14 + 0
6 + -20n = 14

Add '-6' to each side of the equation.
6 + -6 + -20n = 14 + -6

Combine like terms: 6 + -6 = 0
0 + -20n = 14 + -6
-20n = 14 + -6

Combine like terms: 14 + -6 = 8
-20n = 8

Divide each side by '-20'.
n = -0.4

Simplifying
n = -0.4