n+2+8n+4=-12(-5n-2)+5(1-10n)

Solution for n+2+8n+4=-12(-5n-2)+5(1-10n) equation:

Simplifying
n + 2 + 8n + 4 = -12(-5n + -2) + 5(1 + -10n)

Reorder the terms:
2 + 4 + n + 8n = -12(-5n + -2) + 5(1 + -10n)

Combine like terms: 2 + 4 = 6
6 + n + 8n = -12(-5n + -2) + 5(1 + -10n)

Combine like terms: n + 8n = 9n
6 + 9n = -12(-5n + -2) + 5(1 + -10n)

Reorder the terms:
6 + 9n = -12(-2 + -5n) + 5(1 + -10n)
6 + 9n = (-2 * -12 + -5n * -12) + 5(1 + -10n)
6 + 9n = (24 + 60n) + 5(1 + -10n)
6 + 9n = 24 + 60n + (1 * 5 + -10n * 5)
6 + 9n = 24 + 60n + (5 + -50n)

Reorder the terms:
6 + 9n = 24 + 5 + 60n + -50n

Combine like terms: 24 + 5 = 29
6 + 9n = 29 + 60n + -50n

Combine like terms: 60n + -50n = 10n
6 + 9n = 29 + 10n

Solving
6 + 9n = 29 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
6 + 9n + -10n = 29 + 10n + -10n

Combine like terms: 9n + -10n = -1n
6 + -1n = 29 + 10n + -10n

Combine like terms: 10n + -10n = 0
6 + -1n = 29 + 0
6 + -1n = 29

Add '-6' to each side of the equation.
6 + -6 + -1n = 29 + -6

Combine like terms: 6 + -6 = 0
0 + -1n = 29 + -6
-1n = 29 + -6

Combine like terms: 29 + -6 = 23
-1n = 23

Divide each side by '-1'.
n = -23

Simplifying
n = -23