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

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

Simplifying
8(1 + 5n) + -2 = -2n + 6(6n + -3)
(1 * 8 + 5n * 8) + -2 = -2n + 6(6n + -3)
(8 + 40n) + -2 = -2n + 6(6n + -3)

Reorder the terms:
8 + -2 + 40n = -2n + 6(6n + -3)

Combine like terms: 8 + -2 = 6
6 + 40n = -2n + 6(6n + -3)

Reorder the terms:
6 + 40n = -2n + 6(-3 + 6n)
6 + 40n = -2n + (-3 * 6 + 6n * 6)
6 + 40n = -2n + (-18 + 36n)

Reorder the terms:
6 + 40n = -18 + -2n + 36n

Combine like terms: -2n + 36n = 34n
6 + 40n = -18 + 34n

Solving
6 + 40n = -18 + 34n

Solving for variable 'n'.

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

Add '-34n' to each side of the equation.
6 + 40n + -34n = -18 + 34n + -34n

Combine like terms: 40n + -34n = 6n
6 + 6n = -18 + 34n + -34n

Combine like terms: 34n + -34n = 0
6 + 6n = -18 + 0
6 + 6n = -18

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

Combine like terms: 6 + -6 = 0
0 + 6n = -18 + -6
6n = -18 + -6

Combine like terms: -18 + -6 = -24
6n = -24

Divide each side by '6'.
n = -4

Simplifying
n = -4