-3(7n+2)=-6+8n

Solution for -3(7n+2)=-6+8n equation:

Simplifying
-3(7n + 2) = -6 + 8n

Reorder the terms:
-3(2 + 7n) = -6 + 8n
(2 * -3 + 7n * -3) = -6 + 8n
(-6 + -21n) = -6 + 8n

Add '6' to each side of the equation.
-6 + 6 + -21n = -6 + 6 + 8n

Combine like terms: -6 + 6 = 0
0 + -21n = -6 + 6 + 8n
-21n = -6 + 6 + 8n

Combine like terms: -6 + 6 = 0
-21n = 0 + 8n
-21n = 8n

Solving
-21n = 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-21n + -8n = 8n + -8n

Combine like terms: -21n + -8n = -29n
-29n = 8n + -8n

Combine like terms: 8n + -8n = 0
-29n = 0

Divide each side by '-29'.
n = 0

Simplifying
n = 0