46-3k=3(k+6)+8k

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Solution for 46-3k=3(k+6)+8k equation: 


Simplifying
46 + -3k = 3(k + 6) + 8k

Reorder the terms:
46 + -3k = 3(6 + k) + 8k
46 + -3k = (6 * 3 + k * 3) + 8k
46 + -3k = (18 + 3k) + 8k

Combine like terms: 3k + 8k = 11k
46 + -3k = 18 + 11k

Solving
46 + -3k = 18 + 11k

Solving for variable 'k'.

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

Add '-11k' to each side of the equation.
46 + -3k + -11k = 18 + 11k + -11k

Combine like terms: -3k + -11k = -14k
46 + -14k = 18 + 11k + -11k

Combine like terms: 11k + -11k = 0
46 + -14k = 18 + 0
46 + -14k = 18

Add '-46' to each side of the equation.
46 + -46 + -14k = 18 + -46

Combine like terms: 46 + -46 = 0
0 + -14k = 18 + -46
-14k = 18 + -46

Combine like terms: 18 + -46 = -28
-14k = -28

Divide each side by '-14'.
k = 2

Simplifying
k = 2

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