-2k+2(1+k)=3(k-1)+8

Solution for -2k+2(1+k)=3(k-1)+8 equation:

Simplifying
-2k + 2(1 + k) = 3(k + -1) + 8
-2k + (1 * 2 + k * 2) = 3(k + -1) + 8
-2k + (2 + 2k) = 3(k + -1) + 8

Reorder the terms:
2 + -2k + 2k = 3(k + -1) + 8

Combine like terms: -2k + 2k = 0
2 + 0 = 3(k + -1) + 8
2 = 3(k + -1) + 8

Reorder the terms:
2 = 3(-1 + k) + 8
2 = (-1 * 3 + k * 3) + 8
2 = (-3 + 3k) + 8

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

Combine like terms: -3 + 8 = 5
2 = 5 + 3k

Solving
2 = 5 + 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.
2 + -3k = 5 + 3k + -3k

Combine like terms: 3k + -3k = 0
2 + -3k = 5 + 0
2 + -3k = 5

Add '-2' to each side of the equation.
2 + -2 + -3k = 5 + -2

Combine like terms: 2 + -2 = 0
0 + -3k = 5 + -2
-3k = 5 + -2

Combine like terms: 5 + -2 = 3
-3k = 3

Divide each side by '-3'.
k = -1

Simplifying
k = -1