-90=-2+4(3k-7)

Solution for -90=-2+4(3k-7) equation:

Simplifying
-90 = -2 + 4(3k + -7)

Reorder the terms:
-90 = -2 + 4(-7 + 3k)
-90 = -2 + (-7 * 4 + 3k * 4)
-90 = -2 + (-28 + 12k)

Combine like terms: -2 + -28 = -30
-90 = -30 + 12k

Solving
-90 = -30 + 12k

Solving for variable 'k'.

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

Add '-12k' to each side of the equation.
-90 + -12k = -30 + 12k + -12k

Combine like terms: 12k + -12k = 0
-90 + -12k = -30 + 0
-90 + -12k = -30

Add '90' to each side of the equation.
-90 + 90 + -12k = -30 + 90

Combine like terms: -90 + 90 = 0
0 + -12k = -30 + 90
-12k = -30 + 90

Combine like terms: -30 + 90 = 60
-12k = 60

Divide each side by '-12'.
k = -5

Simplifying
k = -5