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

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


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

Reorder the terms:
7(-4 + k) = 3(3 + k)
(-4 * 7 + k * 7) = 3(3 + k)
(-28 + 7k) = 3(3 + k)
-28 + 7k = (3 * 3 + k * 3)
-28 + 7k = (9 + 3k)

Solving
-28 + 7k = 9 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
-28 + 7k + -3k = 9 + 3k + -3k

Combine like terms: 7k + -3k = 4k
-28 + 4k = 9 + 3k + -3k

Combine like terms: 3k + -3k = 0
-28 + 4k = 9 + 0
-28 + 4k = 9

Add '28' to each side of the equation.
-28 + 28 + 4k = 9 + 28

Combine like terms: -28 + 28 = 0
0 + 4k = 9 + 28
4k = 9 + 28

Combine like terms: 9 + 28 = 37
4k = 37

Divide each side by '4'.
k = 9.25

Simplifying
k = 9.25

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