13+2k+31=9k+24-20+3k

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Solution for 13+2k+31=9k+24-20+3k equation: 


Simplifying
13 + 2k + 31 = 9k + 24 + -20 + 3k

Reorder the terms:
13 + 31 + 2k = 9k + 24 + -20 + 3k

Combine like terms: 13 + 31 = 44
44 + 2k = 9k + 24 + -20 + 3k

Reorder the terms:
44 + 2k = 24 + -20 + 9k + 3k

Combine like terms: 24 + -20 = 4
44 + 2k = 4 + 9k + 3k

Combine like terms: 9k + 3k = 12k
44 + 2k = 4 + 12k

Solving
44 + 2k = 4 + 12k

Solving for variable 'k'.

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

Add '-12k' to each side of the equation.
44 + 2k + -12k = 4 + 12k + -12k

Combine like terms: 2k + -12k = -10k
44 + -10k = 4 + 12k + -12k

Combine like terms: 12k + -12k = 0
44 + -10k = 4 + 0
44 + -10k = 4

Add '-44' to each side of the equation.
44 + -44 + -10k = 4 + -44

Combine like terms: 44 + -44 = 0
0 + -10k = 4 + -44
-10k = 4 + -44

Combine like terms: 4 + -44 = -40
-10k = -40

Divide each side by '-10'.
k = 4

Simplifying
k = 4

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