-7(k-8)-(-8k+6)=-2

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Solution for -7(k-8)-(-8k+6)=-2 equation: 


Simplifying
-7(k + -8) + -1(-8k + 6) = -2

Reorder the terms:
-7(-8 + k) + -1(-8k + 6) = -2
(-8 * -7 + k * -7) + -1(-8k + 6) = -2
(56 + -7k) + -1(-8k + 6) = -2

Reorder the terms:
56 + -7k + -1(6 + -8k) = -2
56 + -7k + (6 * -1 + -8k * -1) = -2
56 + -7k + (-6 + 8k) = -2

Reorder the terms:
56 + -6 + -7k + 8k = -2

Combine like terms: 56 + -6 = 50
50 + -7k + 8k = -2

Combine like terms: -7k + 8k = 1k
50 + 1k = -2

Solving
50 + 1k = -2

Solving for variable 'k'.

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

Add '-50' to each side of the equation.
50 + -50 + 1k = -2 + -50

Combine like terms: 50 + -50 = 0
0 + 1k = -2 + -50
1k = -2 + -50

Combine like terms: -2 + -50 = -52
1k = -52

Divide each side by '1'.
k = -52

Simplifying
k = -52

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