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

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


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

Reorder the terms:
-5 + -6(5 + k) = -1(k + -5)
-5 + (5 * -6 + k * -6) = -1(k + -5)
-5 + (-30 + -6k) = -1(k + -5)

Combine like terms: -5 + -30 = -35
-35 + -6k = -1(k + -5)

Reorder the terms:
-35 + -6k = -1(-5 + k)
-35 + -6k = (-5 * -1 + k * -1)
-35 + -6k = (5 + -1k)

Solving
-35 + -6k = 5 + -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
-35 + -6k + k = 5 + -1k + k

Combine like terms: -6k + k = -5k
-35 + -5k = 5 + -1k + k

Combine like terms: -1k + k = 0
-35 + -5k = 5 + 0
-35 + -5k = 5

Add '35' to each side of the equation.
-35 + 35 + -5k = 5 + 35

Combine like terms: -35 + 35 = 0
0 + -5k = 5 + 35
-5k = 5 + 35

Combine like terms: 5 + 35 = 40
-5k = 40

Divide each side by '-5'.
k = -8

Simplifying
k = -8

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