2(2n+1)+4(n-7)=2n+8n

Solution for 2(2n+1)+4(n-7)=2n+8n equation:

Simplifying
2(2n + 1) + 4(n + -7) = 2n + 8n

Reorder the terms:
2(1 + 2n) + 4(n + -7) = 2n + 8n
(1 * 2 + 2n * 2) + 4(n + -7) = 2n + 8n
(2 + 4n) + 4(n + -7) = 2n + 8n

Reorder the terms:
2 + 4n + 4(-7 + n) = 2n + 8n
2 + 4n + (-7 * 4 + n * 4) = 2n + 8n
2 + 4n + (-28 + 4n) = 2n + 8n

Reorder the terms:
2 + -28 + 4n + 4n = 2n + 8n

Combine like terms: 2 + -28 = -26
-26 + 4n + 4n = 2n + 8n

Combine like terms: 4n + 4n = 8n
-26 + 8n = 2n + 8n

Combine like terms: 2n + 8n = 10n
-26 + 8n = 10n

Solving
-26 + 8n = 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.
-26 + 8n + -10n = 10n + -10n

Combine like terms: 8n + -10n = -2n
-26 + -2n = 10n + -10n

Combine like terms: 10n + -10n = 0
-26 + -2n = 0

Add '26' to each side of the equation.
-26 + 26 + -2n = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -2n = 0 + 26
-2n = 0 + 26

Combine like terms: 0 + 26 = 26
-2n = 26

Divide each side by '-2'.
n = -13

Simplifying
n = -13