-6(k-7)+3k=2(k-4)

Solution for -6(k-7)+3k=2(k-4) equation:

Simplifying
-6(k + -7) + 3k = 2(k + -4)

Reorder the terms:
-6(-7 + k) + 3k = 2(k + -4)
(-7 * -6 + k * -6) + 3k = 2(k + -4)
(42 + -6k) + 3k = 2(k + -4)

Combine like terms: -6k + 3k = -3k
42 + -3k = 2(k + -4)

Reorder the terms:
42 + -3k = 2(-4 + k)
42 + -3k = (-4 * 2 + k * 2)
42 + -3k = (-8 + 2k)

Solving
42 + -3k = -8 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
42 + -3k + -2k = -8 + 2k + -2k

Combine like terms: -3k + -2k = -5k
42 + -5k = -8 + 2k + -2k

Combine like terms: 2k + -2k = 0
42 + -5k = -8 + 0
42 + -5k = -8

Add '-42' to each side of the equation.
42 + -42 + -5k = -8 + -42

Combine like terms: 42 + -42 = 0
0 + -5k = -8 + -42
-5k = -8 + -42

Combine like terms: -8 + -42 = -50
-5k = -50

Divide each side by '-5'.
k = 10

Simplifying
k = 10