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

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

Simplifying
3(7 + -9k) + 6(3k + 2) = 0
(7 * 3 + -9k * 3) + 6(3k + 2) = 0
(21 + -27k) + 6(3k + 2) = 0

Reorder the terms:
21 + -27k + 6(2 + 3k) = 0
21 + -27k + (2 * 6 + 3k * 6) = 0
21 + -27k + (12 + 18k) = 0

Reorder the terms:
21 + 12 + -27k + 18k = 0

Combine like terms: 21 + 12 = 33
33 + -27k + 18k = 0

Combine like terms: -27k + 18k = -9k
33 + -9k = 0

Solving
33 + -9k = 0

Solving for variable 'k'.

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

Add '-33' to each side of the equation.
33 + -33 + -9k = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -9k = 0 + -33
-9k = 0 + -33

Combine like terms: 0 + -33 = -33
-9k = -33

Divide each side by '-9'.
k = 3.666666667

Simplifying
k = 3.666666667