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

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

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

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

Reorder the terms:
12(5 + k) = 7 + -1(1 + 3k) + -6
(5 * 12 + k * 12) = 7 + -1(1 + 3k) + -6
(60 + 12k) = 7 + -1(1 + 3k) + -6
60 + 12k = 7 + (1 * -1 + 3k * -1) + -6
60 + 12k = 7 + (-1 + -3k) + -6

Reorder the terms:
60 + 12k = 7 + -1 + -6 + -3k

Combine like terms: 7 + -1 = 6
60 + 12k = 6 + -6 + -3k

Combine like terms: 6 + -6 = 0
60 + 12k = 0 + -3k
60 + 12k = -3k

Solving
60 + 12k = -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.
60 + 12k + 3k = -3k + 3k

Combine like terms: 12k + 3k = 15k
60 + 15k = -3k + 3k

Combine like terms: -3k + 3k = 0
60 + 15k = 0

Add '-60' to each side of the equation.
60 + -60 + 15k = 0 + -60

Combine like terms: 60 + -60 = 0
0 + 15k = 0 + -60
15k = 0 + -60

Combine like terms: 0 + -60 = -60
15k = -60

Divide each side by '15'.
k = -4

Simplifying
k = -4