(9(3k-7)+2(-6+7k))=0

Solution for (9(3k-7)+2(-6+7k))=0 equation:

Simplifying
(9(3k + -7) + 2(-6 + 7k)) = 0

Reorder the terms:
(9(-7 + 3k) + 2(-6 + 7k)) = 0
((-7 * 9 + 3k * 9) + 2(-6 + 7k)) = 0
((-63 + 27k) + 2(-6 + 7k)) = 0
(-63 + 27k + (-6 * 2 + 7k * 2)) = 0
(-63 + 27k + (-12 + 14k)) = 0

Reorder the terms:
(-63 + -12 + 27k + 14k) = 0

Combine like terms: -63 + -12 = -75
(-75 + 27k + 14k) = 0

Combine like terms: 27k + 14k = 41k
(-75 + 41k) = 0

Remove parenthesis around (-75 + 41k)
-75 + 41k = 0

Solving
-75 + 41k = 0

Solving for variable 'k'.

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

Add '75' to each side of the equation.
-75 + 75 + 41k = 0 + 75

Combine like terms: -75 + 75 = 0
0 + 41k = 0 + 75
41k = 0 + 75

Combine like terms: 0 + 75 = 75
41k = 75

Divide each side by '41'.
k = 1.829268293

Simplifying
k = 1.829268293