5(k+6)=10k-4(10k+10)

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Solution for 5(k+6)=10k-4(10k+10) equation: 


Simplifying
5(k + 6) = 10k + -4(10k + 10)

Reorder the terms:
5(6 + k) = 10k + -4(10k + 10)
(6 * 5 + k * 5) = 10k + -4(10k + 10)
(30 + 5k) = 10k + -4(10k + 10)

Reorder the terms:
30 + 5k = 10k + -4(10 + 10k)
30 + 5k = 10k + (10 * -4 + 10k * -4)
30 + 5k = 10k + (-40 + -40k)

Reorder the terms:
30 + 5k = -40 + 10k + -40k

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

Solving
30 + 5k = -40 + -30k

Solving for variable 'k'.

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

Add '30k' to each side of the equation.
30 + 5k + 30k = -40 + -30k + 30k

Combine like terms: 5k + 30k = 35k
30 + 35k = -40 + -30k + 30k

Combine like terms: -30k + 30k = 0
30 + 35k = -40 + 0
30 + 35k = -40

Add '-30' to each side of the equation.
30 + -30 + 35k = -40 + -30

Combine like terms: 30 + -30 = 0
0 + 35k = -40 + -30
35k = -40 + -30

Combine like terms: -40 + -30 = -70
35k = -70

Divide each side by '35'.
k = -2

Simplifying
k = -2

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