-6(k-8)-(-5k-2)=-2

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Solution for -6(k-8)-(-5k-2)=-2 equation: 


Simplifying
-6(k + -8) + -1(-5k + -2) = -2

Reorder the terms:
-6(-8 + k) + -1(-5k + -2) = -2
(-8 * -6 + k * -6) + -1(-5k + -2) = -2
(48 + -6k) + -1(-5k + -2) = -2

Reorder the terms:
48 + -6k + -1(-2 + -5k) = -2
48 + -6k + (-2 * -1 + -5k * -1) = -2
48 + -6k + (2 + 5k) = -2

Reorder the terms:
48 + 2 + -6k + 5k = -2

Combine like terms: 48 + 2 = 50
50 + -6k + 5k = -2

Combine like terms: -6k + 5k = -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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