6=-3(5n+3)

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

Simplifying
6 = -3(5n + 3)

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

Solving
6 = -9 + -15n

Solving for variable 'n'.

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

Add '15n' to each side of the equation.
6 + 15n = -9 + -15n + 15n

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

Add '-6' to each side of the equation.
6 + -6 + 15n = -9 + -6

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

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

Divide each side by '15'.
n = -1

Simplifying
n = -1