1+4k-6+3k=-7(k-1)-12(1-9k)

Solution for 1+4k-6+3k=-7(k-1)-12(1-9k) equation:

Simplifying
1 + 4k + -6 + 3k = -7(k + -1) + -12(1 + -9k)

Reorder the terms:
1 + -6 + 4k + 3k = -7(k + -1) + -12(1 + -9k)

Combine like terms: 1 + -6 = -5
-5 + 4k + 3k = -7(k + -1) + -12(1 + -9k)

Combine like terms: 4k + 3k = 7k
-5 + 7k = -7(k + -1) + -12(1 + -9k)

Reorder the terms:
-5 + 7k = -7(-1 + k) + -12(1 + -9k)
-5 + 7k = (-1 * -7 + k * -7) + -12(1 + -9k)
-5 + 7k = (7 + -7k) + -12(1 + -9k)
-5 + 7k = 7 + -7k + (1 * -12 + -9k * -12)
-5 + 7k = 7 + -7k + (-12 + 108k)

Reorder the terms:
-5 + 7k = 7 + -12 + -7k + 108k

Combine like terms: 7 + -12 = -5
-5 + 7k = -5 + -7k + 108k

Combine like terms: -7k + 108k = 101k
-5 + 7k = -5 + 101k

Add '5' to each side of the equation.
-5 + 5 + 7k = -5 + 5 + 101k

Combine like terms: -5 + 5 = 0
0 + 7k = -5 + 5 + 101k
7k = -5 + 5 + 101k

Combine like terms: -5 + 5 = 0
7k = 0 + 101k
7k = 101k

Solving
7k = 101k

Solving for variable 'k'.

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

Add '-101k' to each side of the equation.
7k + -101k = 101k + -101k

Combine like terms: 7k + -101k = -94k
-94k = 101k + -101k

Combine like terms: 101k + -101k = 0
-94k = 0

Divide each side by '-94'.
k = 0

Simplifying
k = 0