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

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

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

Reorder the terms:
6(1 + 9k) + 9(4 + -2k) = 0
(1 * 6 + 9k * 6) + 9(4 + -2k) = 0
(6 + 54k) + 9(4 + -2k) = 0
6 + 54k + (4 * 9 + -2k * 9) = 0
6 + 54k + (36 + -18k) = 0

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

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

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

Solving
42 + 36k = 0

Solving for variable 'k'.

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

Add '-42' to each side of the equation.
42 + -42 + 36k = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 36k = 0 + -42
36k = 0 + -42

Combine like terms: 0 + -42 = -42
36k = -42

Divide each side by '36'.
k = -1.166666667

Simplifying
k = -1.166666667