40+8k=4(k-5)-6k

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Solution for 40+8k=4(k-5)-6k equation: 


Simplifying
40 + 8k = 4(k + -5) + -6k

Reorder the terms:
40 + 8k = 4(-5 + k) + -6k
40 + 8k = (-5 * 4 + k * 4) + -6k
40 + 8k = (-20 + 4k) + -6k

Combine like terms: 4k + -6k = -2k
40 + 8k = -20 + -2k

Solving
40 + 8k = -20 + -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.
40 + 8k + 2k = -20 + -2k + 2k

Combine like terms: 8k + 2k = 10k
40 + 10k = -20 + -2k + 2k

Combine like terms: -2k + 2k = 0
40 + 10k = -20 + 0
40 + 10k = -20

Add '-40' to each side of the equation.
40 + -40 + 10k = -20 + -40

Combine like terms: 40 + -40 = 0
0 + 10k = -20 + -40
10k = -20 + -40

Combine like terms: -20 + -40 = -60
10k = -60

Divide each side by '10'.
k = -6

Simplifying
k = -6

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