3(k+1)+11k=2(4+5k)-2

Solution for 3(k+1)+11k=2(4+5k)-2 equation:

Simplifying
3(k + 1) + 11k = 2(4 + 5k) + -2

Reorder the terms:
3(1 + k) + 11k = 2(4 + 5k) + -2
(1 * 3 + k * 3) + 11k = 2(4 + 5k) + -2
(3 + 3k) + 11k = 2(4 + 5k) + -2

Combine like terms: 3k + 11k = 14k
3 + 14k = 2(4 + 5k) + -2
3 + 14k = (4 * 2 + 5k * 2) + -2
3 + 14k = (8 + 10k) + -2

Reorder the terms:
3 + 14k = 8 + -2 + 10k

Combine like terms: 8 + -2 = 6
3 + 14k = 6 + 10k

Solving
3 + 14k = 6 + 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
3 + 14k + -10k = 6 + 10k + -10k

Combine like terms: 14k + -10k = 4k
3 + 4k = 6 + 10k + -10k

Combine like terms: 10k + -10k = 0
3 + 4k = 6 + 0
3 + 4k = 6

Add '-3' to each side of the equation.
3 + -3 + 4k = 6 + -3

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

Combine like terms: 6 + -3 = 3
4k = 3

Divide each side by '4'.
k = 0.75

Simplifying
k = 0.75