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

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

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

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

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

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

Multiply 4 * 9
6 + 54k + 36(4 + 2k) = 0
6 + 54k + (4 * 36 + 2k * 36) = 0
6 + 54k + (144 + 72k) = 0

Reorder the terms:
6 + 144 + 54k + 72k = 0

Combine like terms: 6 + 144 = 150
150 + 54k + 72k = 0

Combine like terms: 54k + 72k = 126k
150 + 126k = 0

Solving
150 + 126k = 0

Solving for variable 'k'.

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

Add '-150' to each side of the equation.
150 + -150 + 126k = 0 + -150

Combine like terms: 150 + -150 = 0
0 + 126k = 0 + -150
126k = 0 + -150

Combine like terms: 0 + -150 = -150
126k = -150

Divide each side by '126'.
k = -1.19047619

Simplifying
k = -1.19047619