7k-7(8k-7)=-33-8k

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Solution for 7k-7(8k-7)=-33-8k equation: 


Simplifying
7k + -7(8k + -7) = -33 + -8k

Reorder the terms:
7k + -7(-7 + 8k) = -33 + -8k
7k + (-7 * -7 + 8k * -7) = -33 + -8k
7k + (49 + -56k) = -33 + -8k

Reorder the terms:
49 + 7k + -56k = -33 + -8k

Combine like terms: 7k + -56k = -49k
49 + -49k = -33 + -8k

Solving
49 + -49k = -33 + -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.
49 + -49k + 8k = -33 + -8k + 8k

Combine like terms: -49k + 8k = -41k
49 + -41k = -33 + -8k + 8k

Combine like terms: -8k + 8k = 0
49 + -41k = -33 + 0
49 + -41k = -33

Add '-49' to each side of the equation.
49 + -49 + -41k = -33 + -49

Combine like terms: 49 + -49 = 0
0 + -41k = -33 + -49
-41k = -33 + -49

Combine like terms: -33 + -49 = -82
-41k = -82

Divide each side by '-41'.
k = 2

Simplifying
k = 2

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