k+8k=-8(k+2)-5(1-2k)

Solution for k+8k=-8(k+2)-5(1-2k) equation:

Simplifying
k + 8k = -8(k + 2) + -5(1 + -2k)

Combine like terms: k + 8k = 9k
9k = -8(k + 2) + -5(1 + -2k)

Reorder the terms:
9k = -8(2 + k) + -5(1 + -2k)
9k = (2 * -8 + k * -8) + -5(1 + -2k)
9k = (-16 + -8k) + -5(1 + -2k)
9k = -16 + -8k + (1 * -5 + -2k * -5)
9k = -16 + -8k + (-5 + 10k)

Reorder the terms:
9k = -16 + -5 + -8k + 10k

Combine like terms: -16 + -5 = -21
9k = -21 + -8k + 10k

Combine like terms: -8k + 10k = 2k
9k = -21 + 2k

Solving
9k = -21 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
9k + -2k = -21 + 2k + -2k

Combine like terms: 9k + -2k = 7k
7k = -21 + 2k + -2k

Combine like terms: 2k + -2k = 0
7k = -21 + 0
7k = -21

Divide each side by '7'.
k = -3

Simplifying
k = -3