-67-6(3k-4)=-(1-3k)

Solution for -67-6(3k-4)=-(1-3k) equation:

Simplifying
-67 + -6(3k + -4) = -1(1 + -3k)

Reorder the terms:
-67 + -6(-4 + 3k) = -1(1 + -3k)
-67 + (-4 * -6 + 3k * -6) = -1(1 + -3k)
-67 + (24 + -18k) = -1(1 + -3k)

Combine like terms: -67 + 24 = -43
-43 + -18k = -1(1 + -3k)
-43 + -18k = (1 * -1 + -3k * -1)
-43 + -18k = (-1 + 3k)

Solving
-43 + -18k = -1 + 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.
-43 + -18k + -3k = -1 + 3k + -3k

Combine like terms: -18k + -3k = -21k
-43 + -21k = -1 + 3k + -3k

Combine like terms: 3k + -3k = 0
-43 + -21k = -1 + 0
-43 + -21k = -1

Add '43' to each side of the equation.
-43 + 43 + -21k = -1 + 43

Combine like terms: -43 + 43 = 0
0 + -21k = -1 + 43
-21k = -1 + 43

Combine like terms: -1 + 43 = 42
-21k = 42

Divide each side by '-21'.
k = -2

Simplifying
k = -2