-6(k-8)-(-7k+7)=5

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Solution for -6(k-8)-(-7k+7)=5 equation: 


Simplifying
-6(k + -8) + -1(-7k + 7) = 5

Reorder the terms:
-6(-8 + k) + -1(-7k + 7) = 5
(-8 * -6 + k * -6) + -1(-7k + 7) = 5
(48 + -6k) + -1(-7k + 7) = 5

Reorder the terms:
48 + -6k + -1(7 + -7k) = 5
48 + -6k + (7 * -1 + -7k * -1) = 5
48 + -6k + (-7 + 7k) = 5

Reorder the terms:
48 + -7 + -6k + 7k = 5

Combine like terms: 48 + -7 = 41
41 + -6k + 7k = 5

Combine like terms: -6k + 7k = 1k
41 + 1k = 5

Solving
41 + 1k = 5

Solving for variable 'k'.

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

Add '-41' to each side of the equation.
41 + -41 + 1k = 5 + -41

Combine like terms: 41 + -41 = 0
0 + 1k = 5 + -41
1k = 5 + -41

Combine like terms: 5 + -41 = -36
1k = -36

Divide each side by '1'.
k = -36

Simplifying
k = -36

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