2k-8k+8(5+k)=10-3k

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Solution for 2k-8k+8(5+k)=10-3k equation: 


Simplifying
2k + -8k + 8(5 + k) = 10 + -3k
2k + -8k + (5 * 8 + k * 8) = 10 + -3k
2k + -8k + (40 + 8k) = 10 + -3k

Reorder the terms:
40 + 2k + -8k + 8k = 10 + -3k

Combine like terms: 2k + -8k = -6k
40 + -6k + 8k = 10 + -3k

Combine like terms: -6k + 8k = 2k
40 + 2k = 10 + -3k

Solving
40 + 2k = 10 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
40 + 2k + 3k = 10 + -3k + 3k

Combine like terms: 2k + 3k = 5k
40 + 5k = 10 + -3k + 3k

Combine like terms: -3k + 3k = 0
40 + 5k = 10 + 0
40 + 5k = 10

Add '-40' to each side of the equation.
40 + -40 + 5k = 10 + -40

Combine like terms: 40 + -40 = 0
0 + 5k = 10 + -40
5k = 10 + -40

Combine like terms: 10 + -40 = -30
5k = -30

Divide each side by '5'.
k = -6

Simplifying
k = -6

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