6(k+5)=10k+2(4-3k)

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Solution for 6(k+5)=10k+2(4-3k) equation: 


Simplifying
6(k + 5) = 10k + 2(4 + -3k)

Reorder the terms:
6(5 + k) = 10k + 2(4 + -3k)
(5 * 6 + k * 6) = 10k + 2(4 + -3k)
(30 + 6k) = 10k + 2(4 + -3k)
30 + 6k = 10k + (4 * 2 + -3k * 2)
30 + 6k = 10k + (8 + -6k)

Reorder the terms:
30 + 6k = 8 + 10k + -6k

Combine like terms: 10k + -6k = 4k
30 + 6k = 8 + 4k

Solving
30 + 6k = 8 + 4k

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
30 + 6k + -4k = 8 + 4k + -4k

Combine like terms: 6k + -4k = 2k
30 + 2k = 8 + 4k + -4k

Combine like terms: 4k + -4k = 0
30 + 2k = 8 + 0
30 + 2k = 8

Add '-30' to each side of the equation.
30 + -30 + 2k = 8 + -30

Combine like terms: 30 + -30 = 0
0 + 2k = 8 + -30
2k = 8 + -30

Combine like terms: 8 + -30 = -22
2k = -22

Divide each side by '2'.
k = -11

Simplifying
k = -11

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