6(4-3k)=42+9k

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Solution for 6(4-3k)=42+9k equation:


Simplifying
6(4 + -3k) = 42 + 9k
(4 * 6 + -3k * 6) = 42 + 9k
(24 + -18k) = 42 + 9k

Solving
24 + -18k = 42 + 9k

Solving for variable 'k'.

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

Add '-9k' to each side of the equation.
24 + -18k + -9k = 42 + 9k + -9k

Combine like terms: -18k + -9k = -27k
24 + -27k = 42 + 9k + -9k

Combine like terms: 9k + -9k = 0
24 + -27k = 42 + 0
24 + -27k = 42

Add '-24' to each side of the equation.
24 + -24 + -27k = 42 + -24

Combine like terms: 24 + -24 = 0
0 + -27k = 42 + -24
-27k = 42 + -24

Combine like terms: 42 + -24 = 18
-27k = 18

Divide each side by '-27'.
k = -0.6666666667

Simplifying
k = -0.6666666667

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