-6c+3(c+1)+7c=42

Solution for -6c+3(c+1)+7c=42 equation:

Simplifying
-6c + 3(c + 1) + 7c = 42

Reorder the terms:
-6c + 3(1 + c) + 7c = 42
-6c + (1 * 3 + c * 3) + 7c = 42
-6c + (3 + 3c) + 7c = 42

Reorder the terms:
3 + -6c + 3c + 7c = 42

Combine like terms: -6c + 3c = -3c
3 + -3c + 7c = 42

Combine like terms: -3c + 7c = 4c
3 + 4c = 42

Solving
3 + 4c = 42

Solving for variable 'c'.

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

Add '-3' to each side of the equation.
3 + -3 + 4c = 42 + -3

Combine like terms: 3 + -3 = 0
0 + 4c = 42 + -3
4c = 42 + -3

Combine like terms: 42 + -3 = 39
4c = 39

Divide each side by '4'.
c = 9.75

Simplifying
c = 9.75