6=-3(c-17)

Solution for 6=-3(c-17) equation:

Simplifying
6 = -3(c + -17)

Reorder the terms:
6 = -3(-17 + c)
6 = (-17 * -3 + c * -3)
6 = (51 + -3c)

Solving
6 = 51 + -3c

Solving for variable 'c'.

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

Add '3c' to each side of the equation.
6 + 3c = 51 + -3c + 3c

Combine like terms: -3c + 3c = 0
6 + 3c = 51 + 0
6 + 3c = 51

Add '-6' to each side of the equation.
6 + -6 + 3c = 51 + -6

Combine like terms: 6 + -6 = 0
0 + 3c = 51 + -6
3c = 51 + -6

Combine like terms: 51 + -6 = 45
3c = 45

Divide each side by '3'.
c = 15

Simplifying
c = 15