3(5k-9)=4(2k+2)

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Solution for 3(5k-9)=4(2k+2) equation: 


Simplifying
3(5k + -9) = 4(2k + 2)

Reorder the terms:
3(-9 + 5k) = 4(2k + 2)
(-9 * 3 + 5k * 3) = 4(2k + 2)
(-27 + 15k) = 4(2k + 2)

Reorder the terms:
-27 + 15k = 4(2 + 2k)
-27 + 15k = (2 * 4 + 2k * 4)
-27 + 15k = (8 + 8k)

Solving
-27 + 15k = 8 + 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
-27 + 15k + -8k = 8 + 8k + -8k

Combine like terms: 15k + -8k = 7k
-27 + 7k = 8 + 8k + -8k

Combine like terms: 8k + -8k = 0
-27 + 7k = 8 + 0
-27 + 7k = 8

Add '27' to each side of the equation.
-27 + 27 + 7k = 8 + 27

Combine like terms: -27 + 27 = 0
0 + 7k = 8 + 27
7k = 8 + 27

Combine like terms: 8 + 27 = 35
7k = 35

Divide each side by '7'.
k = 5

Simplifying
k = 5

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