3(2k+1)-4(k-3)-11k=

Solution for 3(2k+1)-4(k-3)-11k= equation:

Simplifying
3(2k + 1) + -4(k + -3) + -11k = 0

Reorder the terms:
3(1 + 2k) + -4(k + -3) + -11k = 0
(1 * 3 + 2k * 3) + -4(k + -3) + -11k = 0
(3 + 6k) + -4(k + -3) + -11k = 0

Reorder the terms:
3 + 6k + -4(-3 + k) + -11k = 0
3 + 6k + (-3 * -4 + k * -4) + -11k = 0
3 + 6k + (12 + -4k) + -11k = 0

Reorder the terms:
3 + 12 + 6k + -4k + -11k = 0

Combine like terms: 3 + 12 = 15
15 + 6k + -4k + -11k = 0

Combine like terms: 6k + -4k = 2k
15 + 2k + -11k = 0

Combine like terms: 2k + -11k = -9k
15 + -9k = 0

Solving
15 + -9k = 0

Solving for variable 'k'.

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

Add '-15' to each side of the equation.
15 + -15 + -9k = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -9k = 0 + -15
-9k = 0 + -15

Combine like terms: 0 + -15 = -15
-9k = -15

Divide each side by '-9'.
k = 1.666666667

Simplifying
k = 1.666666667