-7n+6=-3(3n+5)

Solution for -7n+6=-3(3n+5) equation:

Simplifying
-7n + 6 = -3(3n + 5)

Reorder the terms:
6 + -7n = -3(3n + 5)

Reorder the terms:
6 + -7n = -3(5 + 3n)
6 + -7n = (5 * -3 + 3n * -3)
6 + -7n = (-15 + -9n)

Solving
6 + -7n = -15 + -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 = -15 + -9n + 9n

Combine like terms: -7n + 9n = 2n
6 + 2n = -15 + -9n + 9n

Combine like terms: -9n + 9n = 0
6 + 2n = -15 + 0
6 + 2n = -15

Add '-6' to each side of the equation.
6 + -6 + 2n = -15 + -6

Combine like terms: 6 + -6 = 0
0 + 2n = -15 + -6
2n = -15 + -6

Combine like terms: -15 + -6 = -21
2n = -21

Divide each side by '2'.
n = -10.5

Simplifying
n = -10.5