=(9k+1)6+(4+2k)9

Solution for =(9k+1)6+(4+2k)9 equation:

Simplifying
0 = (9k + 1) * 6 + (4 + 2k) * 9

Reorder the terms:
0 = (1 + 9k) * 6 + (4 + 2k) * 9

Reorder the terms for easier multiplication:
0 = 6(1 + 9k) + (4 + 2k) * 9
0 = (1 * 6 + 9k * 6) + (4 + 2k) * 9
0 = (6 + 54k) + (4 + 2k) * 9

Reorder the terms for easier multiplication:
0 = 6 + 54k + 9(4 + 2k)
0 = 6 + 54k + (4 * 9 + 2k * 9)
0 = 6 + 54k + (36 + 18k)

Reorder the terms:
0 = 6 + 36 + 54k + 18k

Combine like terms: 6 + 36 = 42
0 = 42 + 54k + 18k

Combine like terms: 54k + 18k = 72k
0 = 42 + 72k

Solving
0 = 42 + 72k

Solving for variable 'k'.

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

Add '-72k' to each side of the equation.
0 + -72k = 42 + 72k + -72k
Remove the zero:
-72k = 42 + 72k + -72k

Combine like terms: 72k + -72k = 0
-72k = 42 + 0
-72k = 42

Divide each side by '-72'.
k = -0.5833333333

Simplifying
k = -0.5833333333