2(7n+3)-2(6+2n)=-46

Solution for 2(7n+3)-2(6+2n)=-46 equation:

Simplifying
2(7n + 3) + -2(6 + 2n) = -46

Reorder the terms:
2(3 + 7n) + -2(6 + 2n) = -46
(3 * 2 + 7n * 2) + -2(6 + 2n) = -46
(6 + 14n) + -2(6 + 2n) = -46
6 + 14n + (6 * -2 + 2n * -2) = -46
6 + 14n + (-12 + -4n) = -46

Reorder the terms:
6 + -12 + 14n + -4n = -46

Combine like terms: 6 + -12 = -6
-6 + 14n + -4n = -46

Combine like terms: 14n + -4n = 10n
-6 + 10n = -46

Solving
-6 + 10n = -46

Solving for variable 'n'.

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

Add '6' to each side of the equation.
-6 + 6 + 10n = -46 + 6

Combine like terms: -6 + 6 = 0
0 + 10n = -46 + 6
10n = -46 + 6

Combine like terms: -46 + 6 = -40
10n = -40

Divide each side by '10'.
n = -4

Simplifying
n = -4