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

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

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

Reorder the terms:
2(3 + 2k) + -3(k + 1) = 1
(3 * 2 + 2k * 2) + -3(k + 1) = 1
(6 + 4k) + -3(k + 1) = 1

Reorder the terms:
6 + 4k + -3(1 + k) = 1
6 + 4k + (1 * -3 + k * -3) = 1
6 + 4k + (-3 + -3k) = 1

Reorder the terms:
6 + -3 + 4k + -3k = 1

Combine like terms: 6 + -3 = 3
3 + 4k + -3k = 1

Combine like terms: 4k + -3k = 1k
3 + 1k = 1

Solving
3 + 1k = 1

Solving for variable 'k'.

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

Add '-3' to each side of the equation.
3 + -3 + 1k = 1 + -3

Combine like terms: 3 + -3 = 0
0 + 1k = 1 + -3
1k = 1 + -3

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

Divide each side by '1'.
k = -2

Simplifying
k = -2