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

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


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

Reorder the terms:
-7(5 + k) = 6 + 6(-1k + -5)
(5 * -7 + k * -7) = 6 + 6(-1k + -5)
(-35 + -7k) = 6 + 6(-1k + -5)

Reorder the terms:
-35 + -7k = 6 + 6(-5 + -1k)
-35 + -7k = 6 + (-5 * 6 + -1k * 6)
-35 + -7k = 6 + (-30 + -6k)

Combine like terms: 6 + -30 = -24
-35 + -7k = -24 + -6k

Solving
-35 + -7k = -24 + -6k

Solving for variable 'k'.

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

Add '6k' to each side of the equation.
-35 + -7k + 6k = -24 + -6k + 6k

Combine like terms: -7k + 6k = -1k
-35 + -1k = -24 + -6k + 6k

Combine like terms: -6k + 6k = 0
-35 + -1k = -24 + 0
-35 + -1k = -24

Add '35' to each side of the equation.
-35 + 35 + -1k = -24 + 35

Combine like terms: -35 + 35 = 0
0 + -1k = -24 + 35
-1k = -24 + 35

Combine like terms: -24 + 35 = 11
-1k = 11

Divide each side by '-1'.
k = -11

Simplifying
k = -11

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