6=-3(3c+1)

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

Simplifying
6 = -3(3c + 1)

Reorder the terms:
6 = -3(1 + 3c)
6 = (1 * -3 + 3c * -3)
6 = (-3 + -9c)

Solving
6 = -3 + -9c

Solving for variable 'c'.

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

Add '9c' to each side of the equation.
6 + 9c = -3 + -9c + 9c

Combine like terms: -9c + 9c = 0
6 + 9c = -3 + 0
6 + 9c = -3

Add '-6' to each side of the equation.
6 + -6 + 9c = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 9c = -3 + -6
9c = -3 + -6

Combine like terms: -3 + -6 = -9
9c = -9

Divide each side by '9'.
c = -1

Simplifying
c = -1