6k+6(4k-2)=19-k

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Solution for 6k+6(4k-2)=19-k equation:


Simplifying
6k + 6(4k + -2) = 19 + -1k

Reorder the terms:
6k + 6(-2 + 4k) = 19 + -1k
6k + (-2 * 6 + 4k * 6) = 19 + -1k
6k + (-12 + 24k) = 19 + -1k

Reorder the terms:
-12 + 6k + 24k = 19 + -1k

Combine like terms: 6k + 24k = 30k
-12 + 30k = 19 + -1k

Solving
-12 + 30k = 19 + -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
-12 + 30k + k = 19 + -1k + k

Combine like terms: 30k + k = 31k
-12 + 31k = 19 + -1k + k

Combine like terms: -1k + k = 0
-12 + 31k = 19 + 0
-12 + 31k = 19

Add '12' to each side of the equation.
-12 + 12 + 31k = 19 + 12

Combine like terms: -12 + 12 = 0
0 + 31k = 19 + 12
31k = 19 + 12

Combine like terms: 19 + 12 = 31
31k = 31

Divide each side by '31'.
k = 1

Simplifying
k = 1

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