-6(k-7)=3(1-k)

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

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

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

Solving
42 + -6k = 3 + -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.
42 + -6k + 3k = 3 + -3k + 3k

Combine like terms: -6k + 3k = -3k
42 + -3k = 3 + -3k + 3k

Combine like terms: -3k + 3k = 0
42 + -3k = 3 + 0
42 + -3k = 3

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

Combine like terms: 42 + -42 = 0
0 + -3k = 3 + -42
-3k = 3 + -42

Combine like terms: 3 + -42 = -39
-3k = -39

Divide each side by '-3'.
k = 13

Simplifying
k = 13