2(3-4k)=-51+3k

Solution for 2(3-4k)=-51+3k equation:

Simplifying
2(3 + -4k) = -51 + 3k
(3 * 2 + -4k * 2) = -51 + 3k
(6 + -8k) = -51 + 3k

Solving
6 + -8k = -51 + 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.
6 + -8k + -3k = -51 + 3k + -3k

Combine like terms: -8k + -3k = -11k
6 + -11k = -51 + 3k + -3k

Combine like terms: 3k + -3k = 0
6 + -11k = -51 + 0
6 + -11k = -51

Add '-6' to each side of the equation.
6 + -6 + -11k = -51 + -6

Combine like terms: 6 + -6 = 0
0 + -11k = -51 + -6
-11k = -51 + -6

Combine like terms: -51 + -6 = -57
-11k = -57

Divide each side by '-11'.
k = 5.181818182

Simplifying
k = 5.181818182