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

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

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

Reorder the terms:
6(5 + -3n) + -4(2n + 2) = -3(6 + 8n)
(5 * 6 + -3n * 6) + -4(2n + 2) = -3(6 + 8n)
(30 + -18n) + -4(2n + 2) = -3(6 + 8n)

Reorder the terms:
30 + -18n + -4(2 + 2n) = -3(6 + 8n)
30 + -18n + (2 * -4 + 2n * -4) = -3(6 + 8n)
30 + -18n + (-8 + -8n) = -3(6 + 8n)

Reorder the terms:
30 + -8 + -18n + -8n = -3(6 + 8n)

Combine like terms: 30 + -8 = 22
22 + -18n + -8n = -3(6 + 8n)

Combine like terms: -18n + -8n = -26n
22 + -26n = -3(6 + 8n)
22 + -26n = (6 * -3 + 8n * -3)
22 + -26n = (-18 + -24n)

Solving
22 + -26n = -18 + -24n

Solving for variable 'n'.

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

Add '24n' to each side of the equation.
22 + -26n + 24n = -18 + -24n + 24n

Combine like terms: -26n + 24n = -2n
22 + -2n = -18 + -24n + 24n

Combine like terms: -24n + 24n = 0
22 + -2n = -18 + 0
22 + -2n = -18

Add '-22' to each side of the equation.
22 + -22 + -2n = -18 + -22

Combine like terms: 22 + -22 = 0
0 + -2n = -18 + -22
-2n = -18 + -22

Combine like terms: -18 + -22 = -40
-2n = -40

Divide each side by '-2'.
n = 20

Simplifying
n = 20