11+5(k+1)=3k-(6k-6)

Solution for 11+5(k+1)=3k-(6k-6) equation:

Simplifying
11 + 5(k + 1) = 3k + -1(6k + -6)

Reorder the terms:
11 + 5(1 + k) = 3k + -1(6k + -6)
11 + (1 * 5 + k * 5) = 3k + -1(6k + -6)
11 + (5 + 5k) = 3k + -1(6k + -6)

Combine like terms: 11 + 5 = 16
16 + 5k = 3k + -1(6k + -6)

Reorder the terms:
16 + 5k = 3k + -1(-6 + 6k)
16 + 5k = 3k + (-6 * -1 + 6k * -1)
16 + 5k = 3k + (6 + -6k)

Reorder the terms:
16 + 5k = 6 + 3k + -6k

Combine like terms: 3k + -6k = -3k
16 + 5k = 6 + -3k

Solving
16 + 5k = 6 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
16 + 5k + 3k = 6 + -3k + 3k

Combine like terms: 5k + 3k = 8k
16 + 8k = 6 + -3k + 3k

Combine like terms: -3k + 3k = 0
16 + 8k = 6 + 0
16 + 8k = 6

Add '-16' to each side of the equation.
16 + -16 + 8k = 6 + -16

Combine like terms: 16 + -16 = 0
0 + 8k = 6 + -16
8k = 6 + -16

Combine like terms: 6 + -16 = -10
8k = -10

Divide each side by '8'.
k = -1.25

Simplifying
k = -1.25