12(1-(-5))=7-(1+3k)-6

Solution for 12(1-(-5))=7-(1+3k)-6 equation:

Simplifying
12(1 + -1(-5)) = 7 + -1(1 + 3k) + -6

Multiply -1 * -5
12(1 + 5) = 7 + -1(1 + 3k) + -6

Combine like terms: 1 + 5 = 6
12(6) = 7 + -1(1 + 3k) + -6

Multiply 12 * 6
72 = 7 + -1(1 + 3k) + -6
72 = 7 + (1 * -1 + 3k * -1) + -6
72 = 7 + (-1 + -3k) + -6

Reorder the terms:
72 = 7 + -1 + -6 + -3k

Combine like terms: 7 + -1 = 6
72 = 6 + -6 + -3k

Combine like terms: 6 + -6 = 0
72 = 0 + -3k
72 = -3k

Solving
72 = -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
72 + 3k = -3k + 3k

Combine like terms: -3k + 3k = 0
72 + 3k = 0

Add '-72' to each side of the equation.
72 + -72 + 3k = 0 + -72

Combine like terms: 72 + -72 = 0
0 + 3k = 0 + -72
3k = 0 + -72

Combine like terms: 0 + -72 = -72
3k = -72

Divide each side by '3'.
k = -24

Simplifying
k = -24