2(k-9)=-5(k-2)

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Solution for 2(k-9)=-5(k-2) equation: 


Simplifying
2(k + -9) = -5(k + -2)

Reorder the terms:
2(-9 + k) = -5(k + -2)
(-9 * 2 + k * 2) = -5(k + -2)
(-18 + 2k) = -5(k + -2)

Reorder the terms:
-18 + 2k = -5(-2 + k)
-18 + 2k = (-2 * -5 + k * -5)
-18 + 2k = (10 + -5k)

Solving
-18 + 2k = 10 + -5k

Solving for variable 'k'.

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

Add '5k' to each side of the equation.
-18 + 2k + 5k = 10 + -5k + 5k

Combine like terms: 2k + 5k = 7k
-18 + 7k = 10 + -5k + 5k

Combine like terms: -5k + 5k = 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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