9=2(k+1)-3(k-1)

Solution for 9=2(k+1)-3(k-1) equation:

Simplifying
9 = 2(k + 1) + -3(k + -1)

Reorder the terms:
9 = 2(1 + k) + -3(k + -1)
9 = (1 * 2 + k * 2) + -3(k + -1)
9 = (2 + 2k) + -3(k + -1)

Reorder the terms:
9 = 2 + 2k + -3(-1 + k)
9 = 2 + 2k + (-1 * -3 + k * -3)
9 = 2 + 2k + (3 + -3k)

Reorder the terms:
9 = 2 + 3 + 2k + -3k

Combine like terms: 2 + 3 = 5
9 = 5 + 2k + -3k

Combine like terms: 2k + -3k = -1k
9 = 5 + -1k

Solving
9 = 5 + -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
9 + k = 5 + -1k + k

Combine like terms: -1k + k = 0
9 + k = 5 + 0
9 + k = 5

Add '-9' to each side of the equation.
9 + -9 + k = 5 + -9

Combine like terms: 9 + -9 = 0
0 + k = 5 + -9
k = 5 + -9

Combine like terms: 5 + -9 = -4
k = -4

Simplifying
k = -4