2(2n+3)=8(7n+4)4

Solution for 2(2n+3)=8(7n+4)4 equation:

Simplifying
2(2n + 3) = 8(7n + 4) * 4

Reorder the terms:
2(3 + 2n) = 8(7n + 4) * 4
(3 * 2 + 2n * 2) = 8(7n + 4) * 4
(6 + 4n) = 8(7n + 4) * 4

Reorder the terms:
6 + 4n = 8(4 + 7n) * 4

Reorder the terms for easier multiplication:
6 + 4n = 8 * 4(4 + 7n)

Multiply 8 * 4
6 + 4n = 32(4 + 7n)
6 + 4n = (4 * 32 + 7n * 32)
6 + 4n = (128 + 224n)

Solving
6 + 4n = 128 + 224n

Solving for variable 'n'.

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

Add '-224n' to each side of the equation.
6 + 4n + -224n = 128 + 224n + -224n

Combine like terms: 4n + -224n = -220n
6 + -220n = 128 + 224n + -224n

Combine like terms: 224n + -224n = 0
6 + -220n = 128 + 0
6 + -220n = 128

Add '-6' to each side of the equation.
6 + -6 + -220n = 128 + -6

Combine like terms: 6 + -6 = 0
0 + -220n = 128 + -6
-220n = 128 + -6

Combine like terms: 128 + -6 = 122
-220n = 122

Divide each side by '-220'.
n = -0.5545454545

Simplifying
n = -0.5545454545