-(2n+4)+6=-9+4(2n+1)

Solution for -(2n+4)+6=-9+4(2n+1) equation:

Simplifying
-1(2n + 4) + 6 = -9 + 4(2n + 1)

Reorder the terms:
-1(4 + 2n) + 6 = -9 + 4(2n + 1)
(4 * -1 + 2n * -1) + 6 = -9 + 4(2n + 1)
(-4 + -2n) + 6 = -9 + 4(2n + 1)

Reorder the terms:
-4 + 6 + -2n = -9 + 4(2n + 1)

Combine like terms: -4 + 6 = 2
2 + -2n = -9 + 4(2n + 1)

Reorder the terms:
2 + -2n = -9 + 4(1 + 2n)
2 + -2n = -9 + (1 * 4 + 2n * 4)
2 + -2n = -9 + (4 + 8n)

Combine like terms: -9 + 4 = -5
2 + -2n = -5 + 8n

Solving
2 + -2n = -5 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
2 + -2n + -8n = -5 + 8n + -8n

Combine like terms: -2n + -8n = -10n
2 + -10n = -5 + 8n + -8n

Combine like terms: 8n + -8n = 0
2 + -10n = -5 + 0
2 + -10n = -5

Add '-2' to each side of the equation.
2 + -2 + -10n = -5 + -2

Combine like terms: 2 + -2 = 0
0 + -10n = -5 + -2
-10n = -5 + -2

Combine like terms: -5 + -2 = -7
-10n = -7

Divide each side by '-10'.
n = 0.7

Simplifying
n = 0.7