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 = -20
20n = -20

Divide each side by '20'.
n = -1

Simplifying
n = -1