(9k+1)6+7(4+2k)=

Solution for (9k+1)6+7(4+2k)= equation:

Simplifying
(9k + 1) * 6 + 7(4 + 2k) = 0

Reorder the terms:
(1 + 9k) * 6 + 7(4 + 2k) = 0

Reorder the terms for easier multiplication:
6(1 + 9k) + 7(4 + 2k) = 0
(1 * 6 + 9k * 6) + 7(4 + 2k) = 0
(6 + 54k) + 7(4 + 2k) = 0
6 + 54k + (4 * 7 + 2k * 7) = 0
6 + 54k + (28 + 14k) = 0

Reorder the terms:
6 + 28 + 54k + 14k = 0

Combine like terms: 6 + 28 = 34
34 + 54k + 14k = 0

Combine like terms: 54k + 14k = 68k
34 + 68k = 0

Solving
34 + 68k = 0

Solving for variable 'k'.

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

Add '-34' to each side of the equation.
34 + -34 + 68k = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 68k = 0 + -34
68k = 0 + -34

Combine like terms: 0 + -34 = -34
68k = -34

Divide each side by '68'.
k = -0.5

Simplifying
k = -0.5