-3(k-2)=15+(-7)+4

Solution for -3(k-2)=15+(-7)+4 equation:

Simplifying
-3(k + -2) = 15 + (-7) + 4

Reorder the terms:
-3(-2 + k) = 15 + (-7) + 4
(-2 * -3 + k * -3) = 15 + (-7) + 4
(6 + -3k) = 15 + (-7) + 4
6 + -3k = 15 + -7 + 4

Combine like terms: 15 + -7 = 8
6 + -3k = 8 + 4

Combine like terms: 8 + 4 = 12
6 + -3k = 12

Solving
6 + -3k = 12

Solving for variable 'k'.

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

Add '-6' to each side of the equation.
6 + -6 + -3k = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -3k = 12 + -6
-3k = 12 + -6

Combine like terms: 12 + -6 = 6
-3k = 6

Divide each side by '-3'.
k = -2

Simplifying
k = -2