7k-10=9k-16

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Solution for 7k-10=9k-16 equation:


Simplifying
7k + -10 = 9k + -16

Reorder the terms:
-10 + 7k = 9k + -16

Reorder the terms:
-10 + 7k = -16 + 9k

Solving
-10 + 7k = -16 + 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.
-10 + 7k + -9k = -16 + 9k + -9k

Combine like terms: 7k + -9k = -2k
-10 + -2k = -16 + 9k + -9k

Combine like terms: 9k + -9k = 0
-10 + -2k = -16 + 0
-10 + -2k = -16

Add '10' to each side of the equation.
-10 + 10 + -2k = -16 + 10

Combine like terms: -10 + 10 = 0
0 + -2k = -16 + 10
-2k = -16 + 10

Combine like terms: -16 + 10 = -6
-2k = -6

Divide each side by '-2'.
k = 3

Simplifying
k = 3

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