6(-2+3k)=42

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Solution for 6(-2+3k)=42 equation: 


Simplifying
6(-2 + 3k) = 42
(-2 * 6 + 3k * 6) = 42
(-12 + 18k) = 42

Solving
-12 + 18k = 42

Solving for variable 'k'.

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

Add '12' to each side of the equation.
-12 + 12 + 18k = 42 + 12

Combine like terms: -12 + 12 = 0
0 + 18k = 42 + 12
18k = 42 + 12

Combine like terms: 42 + 12 = 54
18k = 54

Divide each side by '18'.
k = 3

Simplifying
k = 3

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