3n-42=-7(2-3n)+8

Solution for 3n-42=-7(2-3n)+8 equation:

Simplifying
3n + -42 = -7(2 + -3n) + 8

Reorder the terms:
-42 + 3n = -7(2 + -3n) + 8
-42 + 3n = (2 * -7 + -3n * -7) + 8
-42 + 3n = (-14 + 21n) + 8

Reorder the terms:
-42 + 3n = -14 + 8 + 21n

Combine like terms: -14 + 8 = -6
-42 + 3n = -6 + 21n

Solving
-42 + 3n = -6 + 21n

Solving for variable 'n'.

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

Add '-21n' to each side of the equation.
-42 + 3n + -21n = -6 + 21n + -21n

Combine like terms: 3n + -21n = -18n
-42 + -18n = -6 + 21n + -21n

Combine like terms: 21n + -21n = 0
-42 + -18n = -6 + 0
-42 + -18n = -6

Add '42' to each side of the equation.
-42 + 42 + -18n = -6 + 42

Combine like terms: -42 + 42 = 0
0 + -18n = -6 + 42
-18n = -6 + 42

Combine like terms: -6 + 42 = 36
-18n = 36

Divide each side by '-18'.
n = -2

Simplifying
n = -2