7(k-6)=4(2+3k)

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Solution for 7(k-6)=4(2+3k) equation: 


Simplifying
7(k + -6) = 4(2 + 3k)

Reorder the terms:
7(-6 + k) = 4(2 + 3k)
(-6 * 7 + k * 7) = 4(2 + 3k)
(-42 + 7k) = 4(2 + 3k)
-42 + 7k = (2 * 4 + 3k * 4)
-42 + 7k = (8 + 12k)

Solving
-42 + 7k = 8 + 12k

Solving for variable 'k'.

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

Add '-12k' to each side of the equation.
-42 + 7k + -12k = 8 + 12k + -12k

Combine like terms: 7k + -12k = -5k
-42 + -5k = 8 + 12k + -12k

Combine like terms: 12k + -12k = 0
-42 + -5k = 8 + 0
-42 + -5k = 8

Add '42' to each side of the equation.
-42 + 42 + -5k = 8 + 42

Combine like terms: -42 + 42 = 0
0 + -5k = 8 + 42
-5k = 8 + 42

Combine like terms: 8 + 42 = 50
-5k = 50

Divide each side by '-5'.
k = -10

Simplifying
k = -10

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