-6(3n+7)=6(1+n)

Solution for -6(3n+7)=6(1+n) equation:

Simplifying
-6(3n + 7) = 6(1 + n)

Reorder the terms:
-6(7 + 3n) = 6(1 + n)
(7 * -6 + 3n * -6) = 6(1 + n)
(-42 + -18n) = 6(1 + n)
-42 + -18n = (1 * 6 + n * 6)
-42 + -18n = (6 + 6n)

Solving
-42 + -18n = 6 + 6n

Solving for variable 'n'.

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

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

Combine like terms: -18n + -6n = -24n
-42 + -24n = 6 + 6n + -6n

Combine like terms: 6n + -6n = 0
-42 + -24n = 6 + 0
-42 + -24n = 6

Add '42' to each side of the equation.
-42 + 42 + -24n = 6 + 42

Combine like terms: -42 + 42 = 0
0 + -24n = 6 + 42
-24n = 6 + 42

Combine like terms: 6 + 42 = 48
-24n = 48

Divide each side by '-24'.
n = -2

Simplifying
n = -2