6(1+3n)=8(-2n+5)-4

Solution for 6(1+3n)=8(-2n+5)-4 equation:

Simplifying
6(1 + 3n) = 8(-2n + 5) + -4
(1 * 6 + 3n * 6) = 8(-2n + 5) + -4
(6 + 18n) = 8(-2n + 5) + -4

Reorder the terms:
6 + 18n = 8(5 + -2n) + -4
6 + 18n = (5 * 8 + -2n * 8) + -4
6 + 18n = (40 + -16n) + -4

Reorder the terms:
6 + 18n = 40 + -4 + -16n

Combine like terms: 40 + -4 = 36
6 + 18n = 36 + -16n

Solving
6 + 18n = 36 + -16n

Solving for variable 'n'.

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

Add '16n' to each side of the equation.
6 + 18n + 16n = 36 + -16n + 16n

Combine like terms: 18n + 16n = 34n
6 + 34n = 36 + -16n + 16n

Combine like terms: -16n + 16n = 0
6 + 34n = 36 + 0
6 + 34n = 36

Add '-6' to each side of the equation.
6 + -6 + 34n = 36 + -6

Combine like terms: 6 + -6 = 0
0 + 34n = 36 + -6
34n = 36 + -6

Combine like terms: 36 + -6 = 30
34n = 30

Divide each side by '34'.
n = 0.8823529412

Simplifying
n = 0.8823529412