3(-6+3k)=2(-13+3k)

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Solution for 3(-6+3k)=2(-13+3k) equation: 


Simplifying
3(-6 + 3k) = 2(-13 + 3k)
(-6 * 3 + 3k * 3) = 2(-13 + 3k)
(-18 + 9k) = 2(-13 + 3k)
-18 + 9k = (-13 * 2 + 3k * 2)
-18 + 9k = (-26 + 6k)

Solving
-18 + 9k = -26 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
-18 + 9k + -6k = -26 + 6k + -6k

Combine like terms: 9k + -6k = 3k
-18 + 3k = -26 + 6k + -6k

Combine like terms: 6k + -6k = 0
-18 + 3k = -26 + 0
-18 + 3k = -26

Add '18' to each side of the equation.
-18 + 18 + 3k = -26 + 18

Combine like terms: -18 + 18 = 0
0 + 3k = -26 + 18
3k = -26 + 18

Combine like terms: -26 + 18 = -8
3k = -8

Divide each side by '3'.
k = -2.666666667

Simplifying
k = -2.666666667

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