11k-2=8k+49

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Solution for 11k-2=8k+49 equation:


Simplifying
11k + -2 = 8k + 49

Reorder the terms:
-2 + 11k = 8k + 49

Reorder the terms:
-2 + 11k = 49 + 8k

Solving
-2 + 11k = 49 + 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
-2 + 11k + -8k = 49 + 8k + -8k

Combine like terms: 11k + -8k = 3k
-2 + 3k = 49 + 8k + -8k

Combine like terms: 8k + -8k = 0
-2 + 3k = 49 + 0
-2 + 3k = 49

Add '2' to each side of the equation.
-2 + 2 + 3k = 49 + 2

Combine like terms: -2 + 2 = 0
0 + 3k = 49 + 2
3k = 49 + 2

Combine like terms: 49 + 2 = 51
3k = 51

Divide each side by '3'.
k = 17

Simplifying
k = 17

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