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

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

Simplifying
-3 + 5(1 + 11k) = -2(k + -1)
-3 + (1 * 5 + 11k * 5) = -2(k + -1)
-3 + (5 + 55k) = -2(k + -1)

Combine like terms: -3 + 5 = 2
2 + 55k = -2(k + -1)

Reorder the terms:
2 + 55k = -2(-1 + k)
2 + 55k = (-1 * -2 + k * -2)
2 + 55k = (2 + -2k)

Add '-2' to each side of the equation.
2 + -2 + 55k = 2 + -2 + -2k

Combine like terms: 2 + -2 = 0
0 + 55k = 2 + -2 + -2k
55k = 2 + -2 + -2k

Combine like terms: 2 + -2 = 0
55k = 0 + -2k
55k = -2k

Solving
55k = -2k

Solving for variable 'k'.

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

Add '2k' to each side of the equation.
55k + 2k = -2k + 2k

Combine like terms: 55k + 2k = 57k
57k = -2k + 2k

Combine like terms: -2k + 2k = 0
57k = 0

Divide each side by '57'.
k = 0

Simplifying
k = 0