-6(-2k+6)=30+k

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Solution for -6(-2k+6)=30+k equation:


Simplifying
-6(-2k + 6) = 30 + k

Reorder the terms:
-6(6 + -2k) = 30 + k
(6 * -6 + -2k * -6) = 30 + k
(-36 + 12k) = 30 + k

Solving
-36 + 12k = 30 + k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
-36 + 12k + -1k = 30 + k + -1k

Combine like terms: 12k + -1k = 11k
-36 + 11k = 30 + k + -1k

Combine like terms: k + -1k = 0
-36 + 11k = 30 + 0
-36 + 11k = 30

Add '36' to each side of the equation.
-36 + 36 + 11k = 30 + 36

Combine like terms: -36 + 36 = 0
0 + 11k = 30 + 36
11k = 30 + 36

Combine like terms: 30 + 36 = 66
11k = 66

Divide each side by '11'.
k = 6

Simplifying
k = 6

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