-7n+6=3(3n+10)

Solution for -7n+6=3(3n+10) equation:

Simplifying
-7n + 6 = 3(3n + 10)

Reorder the terms:
6 + -7n = 3(3n + 10)

Reorder the terms:
6 + -7n = 3(10 + 3n)
6 + -7n = (10 * 3 + 3n * 3)
6 + -7n = (30 + 9n)

Solving
6 + -7n = 30 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
6 + -7n + -9n = 30 + 9n + -9n

Combine like terms: -7n + -9n = -16n
6 + -16n = 30 + 9n + -9n

Combine like terms: 9n + -9n = 0
6 + -16n = 30 + 0
6 + -16n = 30

Add '-6' to each side of the equation.
6 + -6 + -16n = 30 + -6

Combine like terms: 6 + -6 = 0
0 + -16n = 30 + -6
-16n = 30 + -6

Combine like terms: 30 + -6 = 24
-16n = 24

Divide each side by '-16'.
n = -1.5

Simplifying
n = -1.5