89=-5(-6+4k)+3k

Solution for 89=-5(-6+4k)+3k equation:

Simplifying
89 = -5(-6 + 4k) + 3k
89 = (-6 * -5 + 4k * -5) + 3k
89 = (30 + -20k) + 3k

Combine like terms: -20k + 3k = -17k
89 = 30 + -17k

Solving
89 = 30 + -17k

Solving for variable 'k'.

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

Add '17k' to each side of the equation.
89 + 17k = 30 + -17k + 17k

Combine like terms: -17k + 17k = 0
89 + 17k = 30 + 0
89 + 17k = 30

Add '-89' to each side of the equation.
89 + -89 + 17k = 30 + -89

Combine like terms: 89 + -89 = 0
0 + 17k = 30 + -89
17k = 30 + -89

Combine like terms: 30 + -89 = -59
17k = -59

Divide each side by '17'.
k = -3.470588235

Simplifying
k = -3.470588235