2(k-1)+3(2k+1)=-7

Solution for 2(k-1)+3(2k+1)=-7 equation:

Simplifying
2(k + -1) + 3(2k + 1) = -7

Reorder the terms:
2(-1 + k) + 3(2k + 1) = -7
(-1 * 2 + k * 2) + 3(2k + 1) = -7
(-2 + 2k) + 3(2k + 1) = -7

Reorder the terms:
-2 + 2k + 3(1 + 2k) = -7
-2 + 2k + (1 * 3 + 2k * 3) = -7
-2 + 2k + (3 + 6k) = -7

Reorder the terms:
-2 + 3 + 2k + 6k = -7

Combine like terms: -2 + 3 = 1
1 + 2k + 6k = -7

Combine like terms: 2k + 6k = 8k
1 + 8k = -7

Solving
1 + 8k = -7

Solving for variable 'k'.

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

Add '-1' to each side of the equation.
1 + -1 + 8k = -7 + -1

Combine like terms: 1 + -1 = 0
0 + 8k = -7 + -1
8k = -7 + -1

Combine like terms: -7 + -1 = -8
8k = -8

Divide each side by '8'.
k = -1

Simplifying
k = -1