9(7k+8)+3(k-10)=0

Solution for 9(7k+8)+3(k-10)=0 equation:

Simplifying
9(7k + 8) + 3(k + -10) = 0

Reorder the terms:
9(8 + 7k) + 3(k + -10) = 0
(8 * 9 + 7k * 9) + 3(k + -10) = 0
(72 + 63k) + 3(k + -10) = 0

Reorder the terms:
72 + 63k + 3(-10 + k) = 0
72 + 63k + (-10 * 3 + k * 3) = 0
72 + 63k + (-30 + 3k) = 0

Reorder the terms:
72 + -30 + 63k + 3k = 0

Combine like terms: 72 + -30 = 42
42 + 63k + 3k = 0

Combine like terms: 63k + 3k = 66k
42 + 66k = 0

Solving
42 + 66k = 0

Solving for variable 'k'.

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

Add '-42' to each side of the equation.
42 + -42 + 66k = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 66k = 0 + -42
66k = 0 + -42

Combine like terms: 0 + -42 = -42
66k = -42

Divide each side by '66'.
k = -0.6363636364

Simplifying
k = -0.6363636364