k-3(2k-7)=76

Solution for k-3(2k-7)=76 equation:

Simplifying
k + -3(2k + -7) = 76

Reorder the terms:
k + -3(-7 + 2k) = 76
k + (-7 * -3 + 2k * -3) = 76
k + (21 + -6k) = 76

Reorder the terms:
21 + k + -6k = 76

Combine like terms: k + -6k = -5k
21 + -5k = 76

Solving
21 + -5k = 76

Solving for variable 'k'.

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

Add '-21' to each side of the equation.
21 + -21 + -5k = 76 + -21

Combine like terms: 21 + -21 = 0
0 + -5k = 76 + -21
-5k = 76 + -21

Combine like terms: 76 + -21 = 55
-5k = 55

Divide each side by '-5'.
k = -11

Simplifying
k = -11