5(10-k)+10=-10(k-4)-8

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Solution for 5(10-k)+10=-10(k-4)-8 equation: 


Simplifying
5(10 + -1k) + 10 = -10(k + -4) + -8
(10 * 5 + -1k * 5) + 10 = -10(k + -4) + -8
(50 + -5k) + 10 = -10(k + -4) + -8

Reorder the terms:
50 + 10 + -5k = -10(k + -4) + -8

Combine like terms: 50 + 10 = 60
60 + -5k = -10(k + -4) + -8

Reorder the terms:
60 + -5k = -10(-4 + k) + -8
60 + -5k = (-4 * -10 + k * -10) + -8
60 + -5k = (40 + -10k) + -8

Reorder the terms:
60 + -5k = 40 + -8 + -10k

Combine like terms: 40 + -8 = 32
60 + -5k = 32 + -10k

Solving
60 + -5k = 32 + -10k

Solving for variable 'k'.

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

Add '10k' to each side of the equation.
60 + -5k + 10k = 32 + -10k + 10k

Combine like terms: -5k + 10k = 5k
60 + 5k = 32 + -10k + 10k

Combine like terms: -10k + 10k = 0
60 + 5k = 32 + 0
60 + 5k = 32

Add '-60' to each side of the equation.
60 + -60 + 5k = 32 + -60

Combine like terms: 60 + -60 = 0
0 + 5k = 32 + -60
5k = 32 + -60

Combine like terms: 32 + -60 = -28
5k = -28

Divide each side by '5'.
k = -5.6

Simplifying
k = -5.6

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