9(k-2)-k=k+10

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Solution for 9(k-2)-k=k+10 equation:


Simplifying
9(k + -2) + -1k = k + 10

Reorder the terms:
9(-2 + k) + -1k = k + 10
(-2 * 9 + k * 9) + -1k = k + 10
(-18 + 9k) + -1k = k + 10

Combine like terms: 9k + -1k = 8k
-18 + 8k = k + 10

Reorder the terms:
-18 + 8k = 10 + k

Solving
-18 + 8k = 10 + k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
-18 + 8k + -1k = 10 + k + -1k

Combine like terms: 8k + -1k = 7k
-18 + 7k = 10 + k + -1k

Combine like terms: k + -1k = 0
-18 + 7k = 10 + 0
-18 + 7k = 10

Add '18' to each side of the equation.
-18 + 18 + 7k = 10 + 18

Combine like terms: -18 + 18 = 0
0 + 7k = 10 + 18
7k = 10 + 18

Combine like terms: 10 + 18 = 28
7k = 28

Divide each side by '7'.
k = 4

Simplifying
k = 4

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