5k+22=9k+13

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Solution for 5k+22=9k+13 equation:


Simplifying
5k + 22 = 9k + 13

Reorder the terms:
22 + 5k = 9k + 13

Reorder the terms:
22 + 5k = 13 + 9k

Solving
22 + 5k = 13 + 9k

Solving for variable 'k'.

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

Add '-9k' to each side of the equation.
22 + 5k + -9k = 13 + 9k + -9k

Combine like terms: 5k + -9k = -4k
22 + -4k = 13 + 9k + -9k

Combine like terms: 9k + -9k = 0
22 + -4k = 13 + 0
22 + -4k = 13

Add '-22' to each side of the equation.
22 + -22 + -4k = 13 + -22

Combine like terms: 22 + -22 = 0
0 + -4k = 13 + -22
-4k = 13 + -22

Combine like terms: 13 + -22 = -9
-4k = -9

Divide each side by '-4'.
k = 2.25

Simplifying
k = 2.25

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