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

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

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

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

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

Combine like terms: 3 + 7 = 10
2k = 10 + -3k

Solving
2k = 10 + -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.
2k + 3k = 10 + -3k + 3k

Combine like terms: 2k + 3k = 5k
5k = 10 + -3k + 3k

Combine like terms: -3k + 3k = 0
5k = 10 + 0
5k = 10

Divide each side by '5'.
k = 2

Simplifying
k = 2